NCERT Class 12 Maths
Chapter 13: Probability
17 Questions Solved
NCERT Solutions for Class 12 Maths Chapter 13 Probability — Exercise 13.1
Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.
Question 1
P(E)=0.6, P(F)=0.3, P(E∩F)=0.2. Find P(E|F),P(F|E).
Question 2
Compute P(A|B) if P(B)=0.5 and P(A∩B)=0.32.
Question 3
P(A)=0.8, P(B)=0.5, P(B|A)=0.4. Find (i) P(A∩B), (ii) P(A|B), (iii) P(A∪B).
Question 4
Find P(A∪B) if 2P(A)=P(B)=5/13 and P(A|B)=2/5.
Question 5
P(A)=6/11, P(B)=5/11, P(A∪B)=7/11. Find (i) P(A∩B), (ii) P(A|B), (iii) P(B|A).
Question 6
A fair coin is tossed three times. Find P(E|F): (i) E=head on third toss, F=heads on first two; (ii) E=at least two heads, F=at most…
Question 7
Two fair coins are tossed. Find P(E|F): (i) E=tail appears on one coin, F=one coin shows head; (ii) E=no tail, F=no head.
Question 8
A fair die is thrown three times. Find P(third is 4 | first is 6 and second is 5).
Question 9
Mother, father and son line up at random. Find P(son at an end | father in middle).
Question 10
Black and red dice are rolled. Find (a) P(sum>9 | black=5), (b) P(sum=8 | red<4).
Question 11
For a fair die, E={1,3,5}, F={2,3}, G={2,3,4,5}. Find (i) P(E|F),P(F|E), (ii) P(E|G),P(G|E), (iii) P(E∪F|G),P(E∩F|G).
Question 12
Two children are independently equally likely to be boys or girls. Find P(both girls | (i) youngest a girl, (ii) at least one girl).
Question 13
A bank has 300 easy T/F, 200 difficult T/F, 500 easy MCQ and 400 difficult MCQ questions. Find P(easy | MCQ) for a uniform question…
Question 14
Given the two fair dice show different numbers, find the probability their sum is 4.
Question 15
Throw a die; on a multiple of 3 throw it again, otherwise toss a coin. Find P(coin tail | at least one die shows 3).
Question 16
If P(A)=1/2, P(B)=0, find P(A|B).
Question 17
If P(A|B)=P(B|A), which listed conclusion follows?