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P(A∩B)=P(A)P(B)

Question

P(A∩B)=P(A)P(B)

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Solution

To answer the question, we will use the formula P(A∩B) = P(A)P(B), which relates the probability of the intersection of two events A and B to the product of their individual probabilities.

Step 1: Identify the probabilities of events A and B. Let's say P(A) represents the probability of event A occurring, and P(B) represents the probability of event B occurring.

Step 2: Calculate the probability of the intersection of events A and B. To find P(A∩B), we multiply the probabilities of events A and B together.

Step 3: Substitute the values into the formula. Replace P(A) and P(B) in the formula P(A∩B) = P(A)P(B) with their respective probabilities.

Step 4: Calculate the result. Multiply the probabilities P(A) and P(B) together to find the probability of the intersection of events A and B, P(A∩B).

Step 5: Interpret the result. The final result represents the probability of both events A and B occurring simultaneously.

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