Question 1 :
A card is drawn from a well shuffled deck of $52$ cards. Find the probability of getting a club card?
Question 2 :
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 3 :
<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 4 :
In a non-leap year the probability of getting $53$ Sundays or $53$ Tuesdays or $53$ Thursdays is.
Question 5 :
When $2$ dice are thrown simultaneously what is the probability that there is exactly one $5$?
Question 6 :
If a coin is tossed twice, find the probability of getting at least one head.
Question 7 :
If a coin is tossed, then the probability that a head turns up is ______.
Question 8 :
Find probability of bag chosen out random contains more than 5 kg.
Question 9 :
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 10 :
A coin is tossed $5$ times. The probability of $2$ heads and $3$ tails is:
Question 11 :
When two dice are thrown simultaneously the probability that the sum of the two numbers that turn up is more than $11$ is:
Question 12 :
<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 13 :
<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 14 :
A coin is tossed five times, find the probability of getting no head.
Question 15 :
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 16 :
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 17 :
In a single throw of two dice, find the probability that neither a doublet nor a total of 8 will appear.<br>
Question 18 :
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 19 :
A dies is thrown three times and the sum of three numbers obtained is $15$. The probability of first throw being $3$ is:
Question 20 :
<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 21 :
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 22 :
<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>