Probability 3 Question 30

30. Let A and B be two events such that P(A)=0.3 and P(AB)=0.8. If A and B are independent events, then P(B)=.

(1990, 2M)

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Solution:

  1. P(AB)=P(A)+P(B)P(A)P(B), as A and B are independent events.

0.8=(0.3)+P(B)(0.3)P(B)0.5=(0.7)P(B)P(B)=57



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