for which of the following probability assignments are events a and b independent

 To determine whether events A and B are independent, we need to check if the probability of both events occurring together is equal to the product of their individual probabilities.

If events A and B are independent, then:

P(A ∩ B) = P(A) * P(B)

Let's denote the probabilities of events A and B as P(A) and P(B), respectively, and the probability of both events A and B occurring together as P(A ∩ B).

If the equality holds true, then events A and B are independent.

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If events A and B are independent, then the probability of both events occurring together should be the product of their individual probabilities.

If events A and B are independent, then the probability of both events occurring together should be the product of their individual probabilities.

Let's denote the probabilities of events A and B as P(A) and P(B), respectively, and the probability of both events A and B occurring together as P(A ∩ B).

If the equality holds true, then events A and B are independent.

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