NCERT Class XII Mathematics Chapter - - Solutions | Question 17

NCERT Class XII Mathematics Chapter - - Solutions

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Question : 17

Total: 101

If A and B are events such that P(A | B) = P(B | A), then

A ∈ B but A ≠ B
A = B
A ∩ B = ϕ
P(A) = P(B)

Solution:

Given P (A | B) = P(B | A)
⇒

P(A∩B)

P(B)

=

P(B∩A)

P(A)

⇒ P(B) = P(A) [∵A∩B=B∩A]

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