Question 1 : <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 2 :
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 3 :
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 4 :
If a coin is tossed twice, find the probability of getting at least one head.
Question 5 : 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 6 :
A coin is tossed. What is the probability of getting a head and a tail?
Question 8 :
What is the probability that there are $5$ Mondays in the month of February 2016?
Question 9 :
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 10 : 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 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 :
In a single throw of a die, the probability of getting a multiple of $3$ is ____________.
Question 13 :
When $2$ dice are thrown simultaneously what is the probability that there is exactly one $5$?
Question 14 :
A coin is tossed five times, find the probability of getting no head.
Question 15 :
A coin is tossed $5$ times. The probability of $2$ heads and $3$ tails is:
Question 16 :
Two cards are drawn successively with replacement from a well-shuffled pack of $52$ cards. Theprobability of drawing two aces is.<br>
Question 17 :
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 18 :
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 19 : 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 20 :
A die is thrown once. The probability of getting a number $3$ or $4$ is _________.
