Question 1 :
If a coin is tossed twice, find the probability of getting at least one head.
Question 3 :
When two dice are thrown simultaneously the probability that the sum of the two numbers that turn up is more than $11$ is:
Question 4 : <p>A coin is tossed $150$ times and the outcomes are recorded. The frequency distribution of the outcomes $H$ (i.e, head) and $T$ (i.e, tail) is given below :</p><table class="wysiwyg-table"><tbody><tr><td>Outcome</td><td>$H$</td><td>$T$</td></tr><tr><td>Frequency</td><td>$85$</td><td>$65$</td></tr></tbody></table><p><span class="wysiwyg-font-size-medium"></p><p>Find the value of $P(H)$, i.e, probability of getting a head in a single trial.</p>
Question 5 :
A coin is tossed $5$ times. The probability of $2$ heads and $3$ tails is:
Question 6 :
The probability that a two digit number selected at random will be a multiple of '$3$' and not a multiple of '$5$' is<br/>
Question 7 :
A card is drawn at random from a pack of well shuffled $52$ cards. What is the probability of getting a queen of red suit?
Question 8 :
A coin is tossed. What is the probability of getting a head and a tail?
Question 9 :
In a shooting game, John shoots the balls $20$ times out of $40$ trials. What is the empirical probability of the shooting event?<br/>
Question 10 :
If a coin is tossed, then the probability that a head turns up is ______.
Question 11 :
In a non-leap year the probability of getting $53$ Sundays or $53$ Tuesdays or $53$ Thursdays is.
Question 12 : <p>There are $40$ students in a class and their results is presented as below :</p><table class="wysiwyg-table"><tbody><tr><td>Result (Pass/Fail)</td><td>Pass</td><td>Fail</td></tr><tr><td>Number of Students</td><td>$30$</td><td>$10$</td></tr></tbody></table><p></p><p>If a student chosen at random out of the class, find the probability that the student has passed the examination.</p>
Question 13 :
If $3$ coins are tossed simultaneously, the probability of $2$ heads and $1$ tail is:
Question 14 :
The probability that a leap year will have only $52$ Sundays is
Question 15 :
A die is tossed $80$ times and the number $3$ is obtained $14$ times. Now, a dice is tossed at random, then the probability of getting the number $3$ is ________.
Question 16 :
When $2$ dice are thrown simultaneously what is the probability that there is exactly one $5$?
Question 17 : <p>$400$ students of class $X$ of a school appeared in a test of $100$ marks in the subject of social<br/>studies and the data about the marks secured is as below :<span class="wysiwyg-font-size-medium"><br/></p><span class="wysiwyg-font-size-medium"><table class="wysiwyg-table"><tbody><tr><td>            Marks <br/>           secured</td><td>Number of <br/>Students</td></tr><tr><td>            $0-25$</td><td>     $50$</td></tr><tr><td>          $26-50$</td><td>    $220$</td></tr><tr><td>          $51-75$</td><td>    $100$</td></tr><tr><td>        Above $75$</td><td>      $30$</td></tr><tr><td>Total number of students</td><td>    $400$</td></tr></tbody></table><p><span class="wysiwyg-font-size-medium"></p><p><span class="wysiwyg-font-size-medium"></p><p><span class="wysiwyg-font-size-medium"></p><p></p><span class="wysiwyg-font-size-medium"><p>If the result card of a student he picked up at random, what is the probability that the student has secured more than $50$ marks.</p>
Question 18 : To know the opinion of the student about the subject<span class="wysiwyg-font-size-medium"> statistic, a survey of $200$ students was conducted.<p>The data is recorded in the following table</p><table class="wysiwyg-table"><tbody><tr><td>Opinion</td><td>Like</td><td>Dislike</td></tr><tr><td>No. of Students</td><td>$135$</td><td>$65$</td></tr></tbody></table><p>Find the probability that a student chosen at random</p><span class="wysiwyg-font-size-medium"><p></p><p></p><p></p><p>$(i)$ likes statistics, $(ii)$ does not like it.</p>
Question 19 :
A die is thrown once. The probability of getting a number $3$ or $4$ is _________.
Question 20 : <p>The record of a weather station shows that out of the past $250$ consecutive days, its weather forecasts were correct $175$ times. What is the probability that on a given day it was correct?</p>
Question 21 :
What is the probability that there are $5$ Mondays in the month of February 2016?
Question 22 :
The probability for a randomly chosen month to have its $10^{th}$ day as Sunday, is.
Question 23 :
Bag contains $100$ tickets bearing numbers $1-100$. A ticket is taken out randomly, find the probability getting of a even numbered ticket.<br/>
Question 24 : A survey was conducted by car manufacturing company in a metropolitan city on $1000$ persons having monthly income from Rs. $30,001$ to Rs. $50,000$. The data about the number of persons in various categories is as under:<span class="wysiwyg-font-size-medium"><br/><table class="wysiwyg-table"><tbody><tr><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-right">Monthly income</p><span class="wysiwyg-font-size-medium"><br/> </td><td colspan="3"><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">Number of Cars</p><span class="wysiwyg-font-size-medium"><br/> </td></tr><tr><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">(in rupees)</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$1$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$2$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">More than $2$</p><span class="wysiwyg-font-size-medium"><br/> </td></tr><tr><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-right">$30,001-40,000$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-right">$400$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$50$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$25$</p><span class="wysiwyg-font-size-medium"><br/> </td></tr><tr><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-right">$40,001-50,000$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-right">$100$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$300$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$125$</p><span class="wysiwyg-font-size-medium"><br/> </td></tr></tbody></table> Find the probability that a person selected at random in the income slab $40,001-50,000$ have more than $2$ cars.
Question 25 : Observe the table given.<table class="wysiwyg-table"><tbody><tr><td>Club</td><td>English</td><td>Maths</td><td>Science</td></tr><tr><td>Number of students</td><td>$99$</td><td>$121$</td><td>$154$</td></tr></tbody></table>A student is chosen randomly from the group as the co-ordinator of all the clubs. What is the probability that the student is from the science club?
Question 26 :
In a single throw of a die, the probability of getting a multiple of $3$ is ____________.
Question 27 :
A card is drawn from a well shuffled deck of $52$ cards. Find the probability of getting a club card?
Question 28 : A die having six faces is tossed $80$ times and the data is as below:<span class="wysiwyg-font-size-medium"> <span class="wysiwyg-font-size-medium"><br/><table class="wysiwyg-table"><tbody><tr><td><span class="wysiwyg-font-size-medium"><br/> <p>Outcome</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$1$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$2$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$3$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$4$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p>$5$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-right">$6$</p><span class="wysiwyg-font-size-medium"><br/> </td></tr><tr><td><span class="wysiwyg-font-size-medium"><br/> <p>Frequency</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$10$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$20$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$10$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$28$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$8$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-right">$4$</p><span class="wysiwyg-font-size-medium"><br/> </td></tr></tbody></table><p>Find $P (1) $.</p>
Question 29 :
Two men hit at a target with probabilities $\dfrac{1}{2}$ and $\dfrac{1}{3}$ respectively. What is the probability that exactly one of them hits the target?
Question 30 : There are $40$ students in a class and their results is presented as below :<table class="wysiwyg-table"><tbody><tr><td>Result (Pass/Fail)</td><td>Pass</td><td>Fail</td></tr><tr><td>Number of Students</td><td>$30$</td><td>$10$</td></tr></tbody></table><p></p> If a student chosen at random out of the class, find the probability that the student has passed the examination<br/>
Question 31 :
If $A,B$ be two events such that $P(A\cup B)=\dfrac{5}{6}$, $P(A\cap B)=\dfrac{1}{3}$ and $P(B')=\dfrac{1}{2}$, then events $A,B$ are
Question 32 :
If $3$ coins are tossed simultaneously, the probability of $1$ head and $2$ tails is:
Question 33 :
A box has tokens numbered 3 to 100. If a token is taken out at random the chance that the number is divisible by 7 is
Question 34 : <p>Fifty seeds were selected at random from each of $5$ bags $A, B, C, D, E$ of seeds, and were kept under standardised conditions equally favourable to germination. After $20$ days, the number of seeds which had germinated in each collection were counted and recorded as follow :</p><span class="wysiwyg-font-size-medium"><table class="wysiwyg-table"><tbody><tr><td>Bag</td><td>$A$</td><td>$B$</td><td>$C$</td><td>$D$</td><td>$E$</td></tr><tr><td><p>Number ofseeds</p><p>germinated</p></td><td>$40$</td><td>$48$</td><td>$42$</td><td>$39$</td><td>$41$</td></tr></tbody></table><p><span class="wysiwyg-font-size-medium"></p><p><span class="wysiwyg-font-size-medium"></p><p></p><span class="wysiwyg-font-size-medium"><p>What is the probability of germination of</p><p>$(i)$ more than $40$ seeds in a bag?</p><p>$(ii)$ $49$ seeds in a bag?</p><p>$(iii)$ more than $35$ seeds in a bag?</p><p><br></p>
Question 36 :
Find probability of bag chosen out random contains more than 5 kg.
Question 37 :
Two cards are drawn successively with replacement from a well-shuffled pack of $52$ cards. Theprobability of drawing two aces is.<br>
Question 38 : A die is thrown $200$ times and the outcomes $1, 2, 3, 4, 5, 6$ have frequencies as below:<span class="wysiwyg-font-size-medium"> <span class="wysiwyg-font-size-medium"><br/><table class="wysiwyg-table"><tbody><tr><td><span class="wysiwyg-font-size-medium"><br/> <p><span class="wysiwyg-font-size-medium">Outcome</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$1$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$2$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$3$<span class="wysiwyg-font-size-medium"><br/>  </p></td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$4$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$5$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$6$</p><span class="wysiwyg-font-size-medium"><br/> </td></tr><tr><td><span class="wysiwyg-font-size-medium"><br/> <p><span class="wysiwyg-font-size-medium">Frequency</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$40$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$38$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$43$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$29$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$28$</p><span class="wysiwyg-font-size-medium"><br/> </td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$22$</p><span class="wysiwyg-font-size-medium"><br/> </td></tr></tbody></table><p><span class="wysiwyg-font-size-medium">Find the probabilities of getting a number more than $1$ and less than $6$ in a toss (trial).<br/></p>
Question 39 :
A coin is tossed five times, find the probability of getting no head.
Question 40 : <p>There are $500$ packets in a large box and each packet contains $4$ electronic devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below:</p><table class="wysiwyg-table"><tbody><tr><td>No. of faulty <br/>devices in a packet</td><td>Number of packets</td></tr><tr><td>                 $0$</td><td>             $300$</td></tr><tr><td>                 $1$</td><td>             $100$</td></tr><tr><td>                 $2$</td><td>               $50$</td></tr><tr><td>                 $3$</td><td>               $30$</td></tr><tr><td>                 $4$</td><td>               $20$</td></tr><tr><td>Total number of packets</td><td>              $500$</td></tr></tbody></table><p>If one packet is drawn from the box, what is the probability that all the four devices in the packet are without any fault?</p>
Question 41 :
In a box containing only purple and green marshmallows, $6$ marshmallows are purple. If the probability of choosing a purple marshmallow from the box is $\dfrac {1}{3}$, calculate the number of green marshmallows in the box.
Question 42 : <p>On one page of a telephone directly, there were $200$ telephone numbers. The frequency distribution of their unit place digit (for example in the number $25828573$, the unit place digit is $3$) is given in table below : </p><table class="wysiwyg-table"><tbody><tr><td>Digit</td><td>$0$</td><td>$1$</td><td>$2$</td><td>$3$</td><td>$4$</td><td>$5$</td><td>$6$</td><td>$7$</td><td>$8$</td><td>$9$</td></tr><tr><td>Frequency</td><td>$22$</td><td>$26$</td><td>$22$</td><td>$22$</td><td>$20$</td><td>$10$</td><td>$14$</td><td>$28$</td><td>$16$</td><td>$20$</td></tr></tbody></table><p>Without looking at the page, the pencil is placed on one of these numbers, i.e., the number is chosen at random. What is the probability that the digit in its unit place is more than $7$?</p>
Question 43 :
A box contains $32$ coloured marbles. $8$ of them are red marbles and the rest are either blue or green marbles. A marble is drawn at random. Calculate the probability of drawing a marble which is not red in colour.
Question 44 :
In a single throw of two dice, find the probability that neither a doublet nor a total of 8 will appear.<br>
Question 45 :
Assertion: Consider an event for which probability of success is 1/2.<br>Probability that in n trials,there are r success where r-4K and k is an integer is $\dfrac{1}{4}+\dfrac{1}{2^{n/2+1}}cos (\dfrac{n\pi}{4})$
Reason: $^nC_0+^nC_4+^nC_7+.......=2^{n/2} sin (\dfrac{n \pi}{4})$
Question 46 :
A bag contains $6$ white and $4$ red balls. If a person draws $2$ balls and receives Rs. $10$ and Rs. $20$ for a white and red balls respectively, then his expected amount is -
Question 47 : <p>A coin is tossed $150$ times and the outcomes are recorded. The frequency distribution of the outcomes $H$ (i.e., head) and $T$ (i.e., tail) is given below :</p><table class="wysiwyg-table"><tbody><tr><td>Outcome</td><td>$H$</td><td>$T$</td></tr><tr><td>Frequency</td><td>$85$</td><td>$65$</td></tr></tbody></table><p></p><p>Find the value of $P(H)$, i.e., probability of getting a head in a single trial.</p>
Question 48 : <p>There are $500$ packets in a large box and each packet contains $4$ electronic devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below :</p><table class="wysiwyg-table"><tbody><tr><td>No. of faulty devices in a packet</td><td>Number of packets</td></tr><tr><td>                    $0$</td><td>             $300$</td></tr><tr><td>                    $1$</td><td>             $100$</td></tr><tr><td>                    $2$</td><td>              $50$</td></tr><tr><td>                    $3$</td><td>              $30$</td></tr><tr><td>                    $4$</td><td>              $20$    </td></tr><tr><td>Total number of packets</td><td>             $500$   </td></tr></tbody></table><p>If one packet is drawn from the box, what is the probability that all the four devices in the packet are without any fault?</p>
Question 49 :
A box contains $25$ tickets number $1,2,....25$. If two tickets are drawn at random then the probability that the product of their numbers is even, is
Question 50 :
A die is rolled so that the probability of face $i$ is proportional to $i,\,\,\{i=1,2,.....6\}$. The probability of an even number occurring when the die is rolled, is
Question 51 : <p>A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The table show the result of $1000$ cases :</p><table class="wysiwyg-table"><tbody><tr><td>Distance in $Km$</td><td>Frequency</td></tr><tr><td>Less than $4000$</td><td>       $20$</td></tr><tr><td>$4000$ to $9000$</td><td>      $210$</td></tr><tr><td>$9000$ to $14000$</td><td>      $325$</td></tr><tr><td>More than $14000$</td><td>      $445$</td></tr></tbody></table><p>If you buy a tyre of this company what is the probability that it will need to be replaced after it has covered somewhere between $4000\, km$ and $14000\, km$?</p>
Question 52 :
A ball is drawn at random from a box containing 10 red, 30 white, 20 blue and 15 orange marbles. The probability of a ball drawn is red, white or blue .......
Question 53 :
A bag contains a number of marbles of which $80$ are red, $24$ are white and the rest are blue. If the probability of randomly selecting a blue marble from this bag is $\dfrac {1}{5}$, how many blue marbles are there in the bag?
Question 54 :
$60$ percent people in a group of $10$ people, have brown eyes. Two people are to be selected at random from the group. What is the probability that <u>neither</u> person selected will have brown eyes?
Question 55 :
A couple of dice rolled. What is the empirical probability of getting the sum as $5$?<br/>
Question 56 :
A bag contains 4 white and 2 black balls and another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, then the probability that one ball is white and one ball is black is
Question 57 :
When two dice are thrown simultaneously, the probability that the sum of the two numbers that turn up is less than $11$ is:
Question 58 :
In an examination, the probability of a candidate solving a question is $\dfrac{1}{2}$. Out of given $5$ questions in the examination, what is the probability that the candidate was able to solve at least $2$ questions?
Question 59 : <p>Two dice are thrown. The number of sample points in the sample space when six does not appear on any one side is</p>
Question 60 :
In a survey of $364$children aged $19-36$months, it was found that $91$liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is :<br>
Question 61 :
An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn. What is the probability that both balls are of same colour?
Question 62 : A die is thrown $400$ times, the frequency of the outcomes of the events are given as under.<br/><table class="wysiwyg-table"><tbody><tr><td>outcome<br/></td><td>$1$<br/></td><td>$2$<br/></td><td>$3$<br/></td><td>$4$<br/></td><td>$5$<br/></td><td>$6$<br/></td></tr><tr><td>Frequency<br/></td><td>$70$<br/></td><td>$65$<br/></td><td>$60$<br/></td><td>$75$<br/></td><td>$63$<br/></td><td>$67$<br/></td></tr></tbody></table>Find the probability of occurrence of an odd number.<br/>
Question 63 :
A card is drawn from a well-shuffled deck of playing cards. Find the probability of drawing a face card.
Question 64 : Two coins are tossed $1000$ times and the outcomes are recorded as below:<br><table class="wysiwyg-table"><tbody><tr><td>No of heads<br></td><td>$2$<br></td><td>$1$<br></td><td>$0$<br></td></tr><tr><td>Frequency<br></td><td>$200$<br></td><td>$550$<br></td><td>$250$<br></td></tr></tbody></table>Based on this information, the probability for at most one head is $\dfrac{a}{b}$. Where $(a,b)=1$, then<br>
Question 66 :
What is the total number of candidates at an examination, if 31 % fail and the number of failing students is 248.
Question 67 :
There are only two women among $20$ persons taking part in a pleasure trip. The $20$ persons are divided into two groups, each group consisting of $10$ persons. Then the probability that the two women will be in the same group is:
Question 68 :
A bag contains $15$ red, $8$ blue and several green marbles. A marble is selected at random. The probability of drawing a blue marble is $\dfrac {1}{5}$. $5$ green marbles are now taken out from the bag. If a marble is now drawn at random, find the probability of drawing a green marble
Question 69 :
A dies is thrown three times and the sum of three numbers obtained is $15$. The probability of first throw being $3$ is:
Question 70 :
A bag contains $14$ balls of two colours, the number of balls of colour being equal, seven balls are drawn at random one by one. The ball in hand is returned to the bag before each new draw. The probability that at least $3$ balls of each colour are drawn, is:
Question 71 :
From a normal pack of cards, a card is drawn at random. Find the probability of getting a jack or a king.
Question 72 :
Set $S$ has $4$ elements, $A$ and $B$ are subsets of $S$. The probability that$A$ and $B$ are not disjoint is
Question 73 :
A box contains $40$ red and blue marbles. If a marble is drawn at random, the probability of picking a blue marble is $\dfrac {3}{8}$. Ansh takes out one red and nine blue marbles and then draws a marble at random. Find the probability of drawing a blue marble
Question 74 :
In a World Cup final match against Srilanka, for six times Sachin Tendulkar hits a six out of $30$ balls he plays. What is the probability that in a given throw the ball does not hit a six?
Question 75 :
What is the probability that a two digit number selected at random will be a multiple of $3$ and not a multiple of $5$?
Question 76 :
Let ${ S }_{ n }=\displaystyle\sum _{ k=1 }^{ n }{ k }$ denote the sum of the first $n$ positive integers. The numbers ${ S }_{ 1 }, { S }_{ 2 }, { S }_{ 3 }, \dots , { S }_{ 99 }$ are written on $99$ cards. The probability of drawing a card with an even number written on it is
Question 77 :
A bag contains 100 tickets bearing numbers 1-100. A ticked is taken out randomly, find the probability of getting a ticket bearing a number which is the multiple of 25.
