Question

If P(A) = 0.4 P(B) = 0.5 and P(A∩B) = 0.2 then P(B/A) is
(a) 1/2
(b) 1/3
(c) 4/5
(d) 2/5

Answer 1

If P(A) = 0.4 P(B) = 0.5 and P(A∩B) = 0.2 then P(B/A) is
(a) 1/2
(b) 1/3
(c) 4/5
(d) 2/

Answer 2

Hi ,

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If A and B are any two events in S

P( A and B ) = P( A ) P( B/A )

If P( A ) ≠ 0 .

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Now ,

It is given that ,

P( A ) = 0.4,

P( B ) = 0.5 ,

P( A and B ) = 0.2

P( B/A ) = P( A and B )/P( A )

= 0.2 / 0.4

= 1/2

Therefore ,

P( B/A ) = 1/2

Option ( a ) is correct.

I hope this helps you.

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