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A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)?A.0.15B.0.015C.0D.0.80

Question

A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)?A.0.15B.0.015C.0D.0.80

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Solution 1

The probability of two independent events A and B happening together is given by the product of their individual probabilities.

So, P(A and B) = P(A) * P(B)

Given, P(A) = 0.50 and P(B) = 0.30

Substituting these values in the formula, we get:

P(A and B) = 0.50 * 0.30 = 0.15

So, the answer is A.0.15

Solution 2

The probability of both independent events A and B occurring is calculated by multiplying the probability of A by the probability of B.

So, P(A and B) = P(A) * P(B)

Given that P(A) = 0.50 and P(B) = 0.30, we substitute these values into the equation:

P(A and B) = 0.50 * 0.30 = 0.15

So, the answer is A. 0.15.

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