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NCERT Class 12 Maths Chapter 13: Probability 13 Questions Solved

NCERT Solutions for Class 12 Maths Chapter 13 Probability — Miscellaneous Exercise

Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.

P(A)≠0. Find P(B|A) if (i) A⊂B, (ii) A∩B=∅.

A couple has two independently equally likely boy/girl children. Find (i) P(both male|at least one male), (ii) P(both female|elder…

5% of men and 0.25% of women have grey hair, with equal numbers of men and women. Given a grey-haired person, find P(male).

90% of people are right-handed. For 10 independent random people, find P(at most 6 right-handed).

A leap year is selected at random. Find the chance of 53 Tuesdays.

Choose equally from four marble boxes. Counts (red,white,black): A(1,6,3), B(6,2,2), C(8,1,1), D(0,6,4). Given a red marble, find…

In the stated model, baseline heart-attack probability is 40%. Two equally chosen options reduce risk by 30% (meditation/yoga) or 25%…

Each entry of a 2×2 determinant is independently 0 or 1 with probability 1/2. Find P(determinant positive).

Subsystem failure probabilities: P(A)=0.2, P(B alone)=0.15, P(A∩B)=0.15. Find (i) P(A|B), (ii) P(A alone).

Bag I has 3 red,4 black; bag II has 4 red,5 black. Transfer a random ball from I to II, then draw from II. Given that draw is red…

If P(A)≠0 and P(B|A)=1, which listed set relation follows?

If P(A|B)>P(A), which listed relation is correct?

If P(A)+P(B)−P(A∩B)=P(A), which listed conditional identity follows?