SOLUTION: A and B are independent events. P(B) = 0.5 and P(A AND B) = 0.3. Find P(A). Round your answer to the nearest tenth.

Algebra ->  Probability-and-statistics -> SOLUTION: A and B are independent events. P(B) = 0.5 and P(A AND B) = 0.3. Find P(A). Round your answer to the nearest tenth.      Log On


   

Question 1176350: A and B are independent events. P(B) = 0.5 and P(A AND B) = 0.3. Find P(A).
Round your answer to the nearest tenth.
Answer by ikleyn(52899) About Me  (Show Source):
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Since  P(A and B) = 0.5  and since  the events A and B are independent,


    P(A and B) = P(A)*P(B) = 0.3.


In the last equality, substitute  P(B) = 0.5.   You will get


    P(A)*0.5 = 0.3.


It implies  P(A) = 0.3%2F0.5 = 0.6.    ANSWER

Solved.