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If P(A) = 0.36, P(B) = 0.150, and A and B are independent, find P(A | B).

User Mkobuolys
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Final answer:

For independent events A and B, P(A | B) is simply P(A). Since A and B are independent, P(A | B) = 0.36.

Step-by-step explanation:

You asked, "If P(A) = 0.36, P(B) = 0.150, and A and B are independent, find P(A | B)." To solve this, we'll use the property of independent events. For independent events A and B, the probability of event A given that event B has occurred, denoted by P(A | B), is simply the probability of event A. This is because the occurrence of B does not affect the probability of A when the events are independent.

Therefore, the formula for finding P(A | B) when A and B are independent is:

P(A | B) = P(A)

In your case:

P(A | B) = 0.36

This means that the probability of event A occurring, given that event B has already occurred, remains the same as the probability of event A occurring at all, given that A and B are independent.

User Farrukh Waheed
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