Question 1 :
<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 2 :
<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/></span></p><span class="wysiwyg-font-size-medium"></span><table class="wysiwyg-table"><tbody><tr><td><span> Marks <br/> secured</span></td><td><span>Number of <br/></span>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"></span></p><p><span class="wysiwyg-font-size-medium"></span></p><p><span class="wysiwyg-font-size-medium"></span></p><p></p><span class="wysiwyg-font-size-medium"></span><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 3 :
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 4 :
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 5 :
When a coin is tossed at random, then the probability of getting a head is ________.

Question 6 :
What is the probability that there are $5$ Mondays in the month of February 2016?

Question 7 :
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><span class="wysiwyg-font-size-medium"><br/></span><table class="wysiwyg-table"><tbody><tr><td><span class="wysiwyg-font-size-medium"><br/> </span><p><span class="wysiwyg-font-size-medium">Outcome</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$1$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$2$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$3$</span><span class="wysiwyg-font-size-medium"><br/> </span></p></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$4$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$5$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$6$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td></tr><tr><td><span class="wysiwyg-font-size-medium"><br/> </span><p><span class="wysiwyg-font-size-medium">Frequency</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$40$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$38$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$43$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$29$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$28$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td><td><span class="wysiwyg-font-size-medium"><br/> </span><p class="wysiwyg-text-align-center"><span class="wysiwyg-font-size-medium">$22$</span></p><span class="wysiwyg-font-size-medium"><br/> </span></td></tr></tbody></table><p><span class="wysiwyg-font-size-medium"><span>Find the probabilities of </span><span>getting a number more than $1$ and less than $6$ </span><span>in a toss (trial).</span><br/></span></p>

Question 8 :
In a single throw of a die, the probability of getting a multiple of $3$ is ____________.

Question 9 :
<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"></span></p><p>Find the value of $P(H)$, i.e, probability of getting a head in a single trial.</p>

Question 10 :
In a shooting game, John shoots the balls $20$ times out of $40$ trials. What is the empirical probability of the shooting event?<br/>