Question 1 :
A card is drawn from a well shuffled deck of $52$ cards. Find the probability of getting a club card?
Question 2 :
If a coin is tossed twice, find the probability of getting at least one head.
Question 3 : 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 4 :
In a single throw of a die, the probability of getting a multiple of $3$ is ____________.
Question 5 : <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 6 : 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 7 :
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 8 : <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 9 :
If a coin is tossed, then the probability that a head turns up is ______.
Question 10 :
A die is thrown once. The probability of getting a number $3$ or $4$ is _________.
Question 11 : <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 12 : <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 13 : 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 15 : <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 17 :
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 18 :
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 19 :
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 20 :
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 21 : <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 22 :
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.
