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Let P(A) 0.42, P(B) 0.17, and PAIB 0.37
Calculate P(A ∩ B)

User Rplaurindo
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Final answer:

To calculate P(A ∩ B), we can use the formula P(A ∩ B) = P(A) × P(B|A), where P(B|A) represents the probability of event B occurring given that event A has occurred. Given the values provided, the probability of both events A and B occurring is 0.378.

Step-by-step explanation:

In this question, we are given that P(A) = 0.42, P(B) = 0.17, and P(A ∩ B) = 0.37. We are asked to calculate the probability of both events A and B occurring, which is denoted as P(A ∩ B).

To calculate P(A ∩ B), we can use the formula P(A ∩ B) = P(A) × P(B|A), where P(B|A) represents the probability of event B occurring given that event A has occurred.

Given that P(A ∩ B) = 0.37 and P(B|A) = 0.90, we can substitute these values into the formula to find:

P(A ∩ B) = P(A) × P(B|A) = 0.42 × 0.90 = 0.378

Therefore, the probability of both events A and B occurring is 0.378.

User Insha
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