# Class 11 Mathematics Chapter 16 Probability MCQ Questions with Answer

Probability Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Probability class 11 MCQ which will help them all through their board test.

## Probability Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 16 Probability. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Probability Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Probability MCQ with answers given below.

Question 1 : If a person throw 3 dice, the probability of getting sum of digit exactly 15 is :
(a) 1/108
(b) 2/109
(c) 5/108
(d) 3/108

Question 2 : The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then
P(A) + P(B) is
(a) 0.4
(b) 0.8
(c) 1.2
(d) 1.6

Question 3 : There are 5 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair is
(a) 8/21
(b) 11/21
(c) 13/21
(d) 12/31

Question 4 : Three identical dice are rolled. The probability that the same number will appear on each of them is:
(a) 1/6
(b) 1/36
(c) 1/18
(d) 3/28

Question 5 : The probability that a card drawn from a pack of 52 cards will be a diamond or king is:
(a) 1/52
(b) 2/13
(c) 4/13
(d) 1/13

C

Question 6 : The probability, that a leap year has 53 sundays is:
(a) 2/7
(b) 3/7
(c) 4/7
(d) 1/7

Question 7 : Let A, B, C be three events such that P (A) = 0.3, P(B) = 0.4, P(C) = 0.8, P(A ∩ B) = 0.08, P(A ∩ C) = 0.28, P(A∩B∩C) = 0.09. If P(AÈBÈC) ³ 0.75, then
(a) 0.23 ≤ P(B∩C) ≤ 0.48
(b) 0.45 ≤ P(B∩C) ≤ 0.75
(c) 0.48 ≤ P(B∩C) ≤ 0.75
(d) none of these.

Question 8 : The probability that a man who is x years old will die in a year is P. Then amongst n persons A1, A2….,An each x years old now, the probability that A1 will die in one year is:
(a) 1/n2
(b) 1 – (1 – P)n
(c) 1/n2(1 – 1 – p)n ]
(d) 1/n [1 – (1 – P)n]

Question 9 : The most probable number of heads in 80 tosses of a biased coin, given that the probability of a head in a single toss is 3/5 , is:
(a) 48
(b) 32
(c) 16
(d) 12

Question 10: The probability of occurrence of an event A is 0.3 and that of occurrence of an event B is 0.4. If A and B are mutually exclusive, then the probability that neither A occurs nor B occurs is:
(a) 0.2
(b) 0.35
(c) 0.3
(d) none of these

C

Question 11 : Out of 40 consecutive integers, two are chosen at random, the probability that their sum is odd is:
(a) 14/29
(b) 21/29
(c) 22/39
(d) 20/39

Question 12 : A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out 2 socks at random. What is the probability that they match ?
(a) 2/9
(b) 4/9
(c) 5/9
(d) 5/8

Question 13 : Out of 600 bolts, 20% are too large and 10% are too small. The remainder are considered to be suitable. If a bolt is selected at random, the probability that it will be suitable is:
(a) 1/5
(b) 7/10
(c) 1/10
(d) 3/10

Question 14 : In a collection of 6 mathematics books and 4 physics books, the probability that 3 particular mathematics books will be together is:
(a) 1/8
(b) 1/10
(c) 1/15
(d) 1/20

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Probability Class 11 MCQ are ready by the subject specialists themselves.

Question 15 : A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5.
Then P(AÈB) is
(a) 3/5
(b) 0
(c) 1
(d) 2/5

C

Question 16 : An urn contains 13 balls numbering 1 to 13 . The probability that a ball selected at random is a ball with a number that is a multiple of 3 or 4 is equal to:
(a) 6/13
(b) 5/13
(c) 4/13
(d) 2/13

Question 17 : The number 1, 2, 3, ……., n are arranged in a random order. The probabiltiy that the digits 1, 2, 3, …..k (k < n) appears as neighbours in that order is
(a) 1 /1n!
(b) k!/n!
(c) (n – k)! /n!
(d) (n – k +1)! /n!

Question 18 : The probability of having a king and a queen when the two cards are drawn at random from a pack of 52 cards is:
(a) 16/663
(b) 8/663
(c) 4/663
(d) 2/663

Question 19 : If A and B are two events, such that P(A ∪ B) 3/4 , P(A ∩ B) 1/4 ,P(Ac ) 2/3  WHere Ac stands for the complementary event of A, then P(B) is given by:
(a) 1/3
(b) 2/3
(c) 1/9
(d) 2/9

Question 20 : In tossing 10 coins the probability of getting 5 heads is:
(a) 1 /2
(b) 63/256
(c) 193/250
(d) 9/128

B

Question 21 : Three identical dice are rolled. The probability that the same number will appear on each of them is:
(a) 1/6
(b) 1/36
(c) 1/18
(d) 3/28

Question 22 : A dice is tossed twice. The probability of having a number greater than 3 on each toss is:
(a) 1/4
(b) 1/3
(c) 1/2
(d) 1

Question 23 : In a box there are 2 red, 3 black and 4 white balls.
Out of these three balls are drawn together. The probability of these being of same colour is:
(a) 5/84
(b) 1/21
(c) 1/84
(d) none of these

Question 24 : Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is
(a) 5/2
(b) 5/4
(c) 5/3
(d) 5/1

Question 25 : A box contains 10 identical electronic components of which 4 are defective. If 3 components are selected at random from the box in succession, without replacing the units already drawn, what is the probability that two of the selected components are defective?
(a) 1/5
(b) 5/24
(c) 3/10
(d) 1/40

C

Question 26 : In a school there are 40% science students and the remaining 60% are arts students. It is known that 5% of the science students are girls and 10% of the arts students are girls. One student selected at random is a girl. What is the probability that she is an arts student?
(a) 1/3
(b) 3/4
(c) 1/5
(d) 3/5

Question 27 : A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probbility that they will not win a prize in a single trial is
(a) 1/25
(b) 24/25
(c) 2/25
(d) None

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