Question 1 :
The probability of an event that is certain to happen is ____?

Question 3 :
If $P(C)=\cfrac { 2 }{ 7 } $, then $P(\overline { C } )=$.......................

Question 4 :
The probability of getting number 10 in a throw of a dice is ____.

Question 6 :
$A$ and $B$ are two independent events such that $P(A)=\cfrac { 1 }{ 2 } ;P(B)=\cfrac { 1 }{ 3 } $. Then $P$(neither $A$ nor $B$) is equal to

Question 7 :
Tickets numbered from $1$ to $30$ are mixed up and then a ticket is drawn at random. What is the probability that the drawn ticket has a number which is divisible by both $2$ and $6$?

Question 8 :
Simone and her three friends were deciding how to pick the song they will sing for their school's talent show. They decide to roll a number cube.<br/>The person with the lowest number chooses the song. If her friends rolled a 6, 5, and 2, what is the probability that Simone will get to choose the song?

Question 9 :
Two die are thrown find the probability of getting the sum of the numbers on their upper faces divisible by 9.

Question 10 :
Form two digit numbers using the digit $0,1,2,3,4,5$ without repeating the digits.<br/>$P$ is the event that the number so formed is even.<br/>$Q$ is the event that the number so formed is divisible by $3$.<br/>$R$ is the event that the number so formed is greater than $50$.$S$ is the sample space.Which of the following options is correct?

Question 11 :
A card is drawn at random from well shuffled pack of $52$ cards. Find the probability that the card drawn is a spade:

Question 12 :
A,B and C are three mutually exclusive and exhaustive events and $P(B)=\dfrac{3}{2}P(A), P(C)=\dfrac{1}{3}P(B)$ then the value of $P(A)$ is

Question 13 :
A bag contains $40$ balls out of which some are red, some are blue and remaining are black. If the probability of drawing a red ball is $\displaystyle \dfrac{11}{20}$ and that of blue ball is $\displaystyle \dfrac{1}{5}$, then the number of black balls is

Question 14 :
The probability that a number selected at random from the numbers $1,2,3.......15$ is a multiple of $4$ is

Question 15 :
Two fair die are thrown, find the probability that sum of the points on their uppermost faces is a perfect square or divisible by $4$:

Question 16 :
If we throw a dice, then the sample space, $S = {1, 2, 3, 4, 5, 6}$. Now the event of $3$ appearing on the dice is simple and given by<br/>

Question 17 :
In throwing of two dice, the number of exhaustive events that $'5'$ will never appear on any one of the dice is

Question 18 :
Two fair dice are thrown. What is the probability that the two scores do not add to $5$?<br/>

Question 19 :
A coin is tossed and a single $6$-sided die is rolled. Find the probability of landing on the tail side of the coin and rolling $4$ on the die.<br/>

Question 20 :
A researcher conducted a survey to determine whether people in a certain town prefer watching sports on television to attending the sporting event. The researcher asked 117 people who visited a local restaurant on a Saturday, and 7 people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports-watching preferences of all people in the town?