If A and B are any two events such that P(A) + P(B) – P(A ...

NCERT Class XII Mathematics Chapter - - Solutions

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Question : 101 of 101

Marks: +1, -0

If A and B are any two events such that
P(A) + P(B) – P(A and B) = P(A), then

P(B | A) = 1
P(A | B) = 1
P(B | A) = 0
P(A | B) = 0

Solution:

P(A)+P(B)−P(A∩B)=P(A)
⇒P(B)−P(A∩B)=0
⇒P(A∩B)=P(B)
⇒

P(A∩B)

P(B)

=1
⇒P(A|B)=1.

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