Find P(B) if A and B are independent

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hamza

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2022-05-18

If P(A)=1/3 , (A∪B)=5/9 , Find P(B) if

A and B are independent.

Statistics, Mathematics,

hamza

2022-05-18

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P(A∪B)=P(A)+P(B)-P(A∩B)
5/9=1/3+P(B)-P(A∩B)→*
A and B are independent.
P(A∩B)=P(A)P(B)
P(A∩B)=1/3 P(B) in *
5/9=1/3+P(B)-1/3 P(B)→P(B)=2/9

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