How to Calculate the Probability of Independent Events

What is the probability of event B occurring if events A and B are independent, with P(A) = 0.64 and P(A and B) = 0.48?

To solve this problem, we need to use the formula for calculating the probability of independent events.

Understanding Probability of Independent Events

Probability of A and B occurring: P(A and B) = P(A) * P(B) Given that P(A) = 0.64 and P(A and B) = 0.48, we can find the probability of event B occurring.

Calculating the Probability of Event B

We know that P(B) = P(A and B) / P(A). Substituting the values we have: P(B) = 0.48 / 0.64 P(B) = 0.75 Therefore, the probability of event B occurring, based on the given requirements, is 0.75.
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