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

 It seems like the list of probability assignments is missing from your question. To determine whether events A and B are independent, you typically need the probabilities of the individual events (P(A) and P(B)) as well as the probability of their intersection (P(A ∩ B)).

The definition of independent events is that the occurrence of one event does not affect the occurrence of the other. Mathematically, events A and B are independent if:

�(�∩�)=�(�)⋅�(�)

So, if you have a set of probability assignments for events A and B, you can check if this equality holds. If it does, events A and B are independent. If not, they are dependent.

If you provide the specific probability assignments or the mathematical expressions for the probabilities of events A and B, I can assist you in determining whether the events are independent.

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