Question 2 :
Two cards are drawn from a single deck of $52$ cards one after the other. Find the probability of selecting a king from the first card and queen from the second card.
Question 3 :
Assertion: In rolling a dice, the probability of getting number $8$ is zero.
Reason: Its an impossible event.
Question 4 :
One card is drawn from a pack of $52$ cards.The probability of getting a $10$ of black suit is<br/>
Question 5 :
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.
Question 6 :
If $P(A) = 1$, then the event $A$ is known as
Question 7 :
While doing any experiment, there will be a possible outcome which is called<br/>
Question 8 :
An event which will not occur on any account is called an<br>
Question 9 :
If probability of getting a red ball from a bag containing blue and red balls is 0.52. then probability of getting a blue ball from the same bag is
Question 10 :
The probability of a sure event (or certain event) is ____
Question 11 :
If two coins are tossed then find the probability of the events that at the most one tail turns up
Question 12 :
An unknown die is thrown. The probability of getting an odd number is<br>
Question 13 :
If $P(A) = P(B)$, then the two events $A$ and $B$ are -<br/>
Question 15 :
An unbiased die is thrown. The probability of getting a number between $1$ and $6$ is<br/>
Question 16 :
Two dice are thrown simultaneously. Find the probability of getting the sum as a prime number.
Question 17 :
One card is drawn from a pack of $52$ cards. The probability of getting a face card is:<br/>
Question 21 :
State true or false:The probabilities of three mutually exclusive events A, B, C are $\displaystyle P\left ( A \right )= \cfrac 23, P\left ( B \right )= \cfrac 14, P\left ( C \right )= \cfrac 16.$
Question 23 :
The sample space in the set representing an event more than one element is called <br>
Question 24 :
Events $E_{1}, E_{2}, E_{3}$ are possible events of an experiment and their probabilities are recorded.Mark the possible correct answers.
Question 26 :
Two coins are tossed. Find the probability that a head does not appear:
Question 27 :
A die is thrown then find the probability of getting an odd number.
Question 28 :
The probability of getting a number greater than $2$ by throwing a fair dice is:
Question 29 :
One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting a spade.
Question 30 :
There are $20$ marbles in a bag and $10$ of them are blue. What is the probability that any $1$ marble drawn at random will not be blue?<br/>
Question 31 :
Toss a fair coin $3$ times in a row, how many elements are in the sample space?<br/>
Question 32 :
In tossing a coin, the chance of throwing head and tail alternatively in $3$ successive trials is<br/>
Question 33 :
Two unbiased coins are tossed simultaneously. The probability of getting at least one head is
Question 37 :
When the dice are thrown, the event $E = {4}$, then this event is called ____.<br/>
Question 38 :
In a random experiment,it the occurrence of one event prevents the occurrence of other event,is
Question 39 :
The probability of an _____ is greater than or equal to $0$ and less than or equal to $1$.<br/>
Question 40 :
Two unbiased coins are tossed simultaneously. The probability of getting two heads<br>
Question 41 :
If a coin is tossed till the first head appears, then what will be the sample space ?
Question 42 :
Toss three fair coins simultaneously and record the outcomes. Find the probability of getting atmost one head in the three tosses.
Question 43 :
When a die is thrown, list the outcomes of an event of getting:<br/>I. A prime number,<br/>II. Not a prime number.<br/>
Question 45 :
If the letters of the word $"ATTEMPT"$ are written down at random. The probability that all the $T's$ come together is
Question 47 :
Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
Question 48 :
What is the sample space for choosing an odd number from $2$ to $10$ at random?<br/>
Question 49 :
A die is rolled, find the probability that an odd numbers is obtained.<br>
Question 50 :
What is the sample space for choosing a letter from a set of vowel  ?
Question 52 :
What is the probability that a number selected from the numbers 1, 2, 3, 4, 5......,16 is a prime number ?
Question 53 :
Two fair dice are thrown. What is the probability that the two scores do not add to $5$?<br/>
Question 54 :
A fair die is thrown 3 times . The chance that sum of three numbers appearing on the die is less than 11 , is equal to -
Question 55 :
An experiment can result in only $3$ mutually exclusive events $A, B$ and $C$. If $P(A) = 2P(B) = 3P(C)$, then $P(A) =$<br/>
Question 56 :
A box contains $20$ cards marked with the numbers $ 1 $ to $20$. One card is drawn from this box at random. What is the probability that number on the card is a multiple of $5$?
Question 57 :
$A$ 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 58 :
Two die are thrown. Find the probability that the number on the upper face of the first dice is less than the number on the upper face of the second dice.
Question 59 :
A die is thrown twice. What is the probability that<br/>$(i)$ 3 will not come up either time?<br/>$(ii)$ 6 will come up at least once?
Question 61 :
If for two events $A$ and $B, P(A\cap B)\ne P(A) \times P(B)$, then the two events $A$ and $B$ are
Question 62 :
List the outcomes in the experiment of tossing two coins together.
Question 63 :
If three coins are tossed then find the probability of the event of getting no tail.
Question 64 :
What is the probability that a leap year has $53$ Sundays?
Question 65 :
Three unbiased coins are tossed, what is probability of getting exactly two heads ?
Question 67 :
Let $S$ be a set containing $n$ elements and we select two subsets $A$ and $B$ of $S$ at random, then the probability that $A\cup B=S$ and $A\cap B=\phi$, is.<br/>
Question 68 :
Three letters, to each of which corresponds an envelope, are placed in the envelopes at random. The probability that all the letters are not placed in the right envelopes, is
Question 69 :
There are three boys and two girls. A committee of two is to be formed. Find the probability of events that the committee contains at least one girl:
Question 70 :
For two independent events $A$ and $B$, what is $P(A + B)$, given $P(A) = \dfrac{3}{5}$ and $P(B) = \dfrac{2}{3}$?
Question 71 :
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 72 :
If A & B are two events such that $p(A)\neq 0$ & $ P(B)\neq 1,t hen\ P(A'/B)$
Question 73 :
A bag contains four tickets marked with $112, 121, 211, 222$, one ticket is drawn at random from the bag. Let $E_i(i=1, 2, 3)$ denote the event that $i^{th}$ digit on the ticket is $2$ then :
Question 74 :
A card is drawn at random from well shuffled pack of $52$ cards. Find the probability that the card drawn is a spade:
Question 75 :
The probability of getting number less than or equal to $6$, when a die is thrown once, is<br/>
Question 76 :
Given that the events $A$ and $B$ are such that $P\left( A \right) = \displaystyle\frac { 1 }{ 2 } , P\left( A\cup B \right) = \displaystyle\frac { 3 }{ 5 } $ and $P\left( B \right) =p$. Find $p$ if they are (i) mutually exclusive (ii) independent.
Question 77 :
There are $3$ red, $3$ white and $3$ green balls in a bag. One ball is drawn at random from a bag:<br/>$P$ is the event that ball is red.<br/>$Q$ is the event that ball is not green.<br/>$R$ is the event that ball is red or white.$S$ is the sample space.Which of the following options is correct?
Question 78 :
$8$ players compete in a tournament, every one plays everyone else just once. The winner of a game gets $1$, the loser $0$ or each gets $\dfrac{1}{2}$ if the game is drawn. The final result is that every one gets a different score and the player playing placing second gets the same as the total of four bottom players.The total score of all the players is
Question 79 :
Two digit number are formed from the digits $0,1,2,3,4$ where digits are not repeated. Find the probability for each of the event that the number formed is an even number.<br/>
Question 80 :
A die is thrown :<br/>$P$ is the event of getting an odd number.<br/>$Q$ is the event of getting an even number.<br/>$R$ is the event of getting a prime number.Which of the following pairs is mutually exclusive?
Question 81 :
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 82 :
The letters of the alphabet are written on $26$ cards. Two cards are chosen at random. Find the probability that at least one of them is a vowel?<br/>
Question 84 :
Two similar boxes $B_{i}(i = 1, 2)$ contains $(i + 1)$ red and $(5 - i - 1)$ black balls. One box is chosen at random and two balls are drawn randomly. What is the probability that both the balls are of different colours?
Question 85 :
A coin is tossed $100$ times with the following frequencies: Head : $20$. Find the probability for event having heads only.<br/>
Question 86 :
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 87 :
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?
Question 88 :
Choose the correct answer and write the alphabet of it :<br>If $n(A) = 2 , P(A) = \dfrac{1}{5}$, then $n(s) = ?$
Question 89 :
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 90 :
A box contains $6$ green balls, $4$ blue balls and $5$ yellow balls. A ball is drawn at random. Find the probability of <br>(a) Getting a yellow ball.<br>(b) Not getting a green ball.
Question 91 :
Three unbiased coins are tossed. What is the probability of getting at most 2 tails ?
Question 92 :
Sita and Geta are friends, what is the probability that both will have different birthdays (ignoring a leap year)
Question 93 :
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 94 :
Calculate the probability that a number selected at random from the set {$2,3,7,12,15,22,72,108$} will be divisible by both $2$ and $3$.
Question 95 :
In throwing of two dice, the number of exhaustive events that $'5'$ will never appear on any one of the dice is
Question 96 :
The probability that a number selected at random from the numbers $1,2,3.......15$ is a multiple of $4$ is
Question 97 :
If $P(A) + P(B) = 1$; then which of the following option explains the event $A$ and $B$ correctly?
Question 98 :
In a sample study of $642$ people, it was found that $514$ people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is :<br/><br/>
Question 99 :
A sample space consists of $3$ sample points with associated probabilities given as $2p,{p}^{2},4p-1$ then
Question 100 :
A dice is thrown once. Find the probability of getting a number greater than $4$.
Question 103 :
Two cards are drawn simultaneously from a well shuffled pack of $52$ cards. The expected number of aces is?
Question 104 :
Let $A$ and $B$ be two events such that $P(\overline { A\cup B } )=\cfrac { 1 }{ 6 } ,P(A\cap B)=\cfrac { 1 }{ 4 } $ and $P(\overline { A } )=\cfrac { 1 }{ 4 } $, where $\overline { A } $ stands for complement of event $A$. Then, the events $A$ and $B$ are
Question 107 :
Four dice are rolled, then the probability that at least one digit on the dice must be repeated is
Question 110 :
Let $A$ and $B$ be two events such that $P (A \cup B) = P(A) + P(B)- P (A) P(B)$. If $0 < P(A) < 1$ and $0 < P (B) < 1$, then $P(A \cup B)'$ is equal to
