NCERT Class XII Mathematics Chapter - - Solutions | Question 4

NCERT Class XII Mathematics Chapter - - Solutions

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Question : 4

Total: 101

Evaluate P(A ∪ B), if 2P(A) = P(B) =

5

13

and P(A|B) =

2

5

Solution:

Given P(A|B)=

2

5

⇒

P(A∩B)

P(B)

=

2

5

⇒P(A∩B)=

2

5

P(B)=

2

5

×

5

13

=

2

13

Hence, P(A∪B)=P(A)+P(B)−P(A∩B)
=

1

2

×

5

13

+

5

13

−

2

13

=

11

26

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