SOLUTION: Events A and B are independent. Find the indicated Probability. P (A) = 0.39 P (B) = _______ (round answer to 3 decimal places). P (A and B) = ) 0.02

Algebra ->  Probability-and-statistics -> SOLUTION: Events A and B are independent. Find the indicated Probability. P (A) = 0.39 P (B) = _______ (round answer to 3 decimal places). P (A and B) = ) 0.02      Log On


   

Question 1182164: Events A and B are independent.
Find the indicated Probability.
P (A) = 0.39
P (B) = _______ (round answer to 3 decimal places).
P (A and B) = ) 0.02
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: 0.051

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Explanation:

We use the idea that
P(A and B) = P(A)*P(B)
which only applies if A and B are independent

Rearranging terms gets us
P(B) = P(A and B)/P(A)
P(B) = 0.02/0.39
P(B) = 0.05128205128206
P(B) = 0.051