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: � ( � ∩ � ) = � ( � ) ⋅ � ( � ) P ( A ∩ B ) = P ( A ) ⋅ P ( B ) If this equation holds true, then events A and B are independent. If not, they are dependent.