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
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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