Question

Given that events A and B are independent with P(A) = 0.36 and P(B) = 0.55, determine

the value of P(AB), rounding to the nearest thousandth, if necessary.
Answer Attempt 1 out of 2
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Answer 1

To determine the probability of both independent events A and B occurring, P(AB), you multiply the individual probabilities: P(AB) = P(A) x P(B) = 0.36 x 0.55 = 0.198.

Step-by-step explanation:

The question asks for the value of P(AB), which represents the probability of both independent events A and B occurring. In probability theory, when two events are independent, the probability of both events occurring is the product of their separate probabilities. Therefore, to find P(AB), we multiply P(A) by P(B).

In this case:

• P(A) = 0.36
• P(B) = 0.55
• P(AB) = P(A) × P(B) = 0.36 × 0.55 = 0.198

Thus, the probability of both events A and B occurring, P(AB), is 0.198, which may be rounded to the nearest thousandth if necessary.