Question

if 2P(A)=P(B)=5/13 and P(A/B)=2/5.evaluate P(AuB)

Answer 1

Here's your answer

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P(A)= (5/2×13)=5/26

P(B)= 5/13

since P(A/B) = 2/5

P(A/B)=P(A)-P(AnB)

2/5=5/26-P(AnB)

P(AnB)= 5/26-2/5

P(AnB) = -27/130

therefore,P(AuB)=P(A)+P(B)-P(AnB)

=5/26+5/13-(-27/130)

=5/26+5/13+27/130

=51/65