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

 It seems like the options for the probability assignments are missing in your question. To determine whether events A and B are independent, you typically need information about the probabilities of A, B, and their intersection, P(A ∩ B). Events A and B are considered independent if:

�(�∩�)=�(�)⋅�(�)

In other words, the probability of both events occurring is the product of the probabilities of each event occurring individually.

If you provide the specific probability assignments or details about events A and B, I can help you determine whether they are independent based on the given probabilities

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