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

 It appears that the list of probability assignments is missing from your question. To determine whether events A and B are independent, you can use the following definition of independence:

Two events, A and B, are considered independent if the occurrence or non-occurrence of one event does not affect the occurrence or non-occurrence of the other.

Mathematically, this can be expressed as:

�(�∩�)=�(�)⋅�(�)

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

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

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