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

 To determine if events A and B are independent, we need to evaluate their probability assignments. Two events A and B are independent if the probability of their intersection (the probability that both A and B occur) is equal to the product of their individual probabilities. Mathematically, this is expressed as:

�(�∩�)=�(�)×�(�)

If this equality holds, then events A and B are independent. Without specific probability assignments provided, I can't directly answer your question. However, if you can provide the probabilities of events A and B, as well as the probability of their intersection, I can help determine whether they are independent.

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