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Suppose P(A) = 0.60, P(B) = 0.85, and A and B are independent. The probability of...

Suppose P(A) = 0.60, P(B) = 0.85, and A and B are independent. The probability of the complement of the event (A and B) is
(a) 0.4 x 0.15 = 0.060
(b) 0.4 + 0.15 0.060
(c) 1-(0.40 + 0.15) = 0.45
(d) 1- (0.6 x 0.85) = 0.490
Math   Statistics-And-Probability   
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Answer #1

It is given that

A and B are independent.

We have to find the complement of the event (A and B).

Now, what we basically have to find, is

Now, by the law of complementary probability, this becomes

Now, A and B are independent; so, using the property of indpendence, this becomes

The correct answer is option (d) 1- (0.6 x 0.85) = 0.490.

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