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

 It seems like you might be missing the list of probability assignments for events A and B in your question. Please provide the specific probability assignments for events A and B so that I can help determine whether they are independent. Additionally, the definition of independence in probability is that events A and B are independent if the occurrence or non-occurrence of one does not affect the occurrence or non-occurrence of the other. In terms of probability, this is expressed as:

()=()()

If this equation holds true, then events A and B are independent. If not, they are dependent.

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