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

To determine if events A and B are independent, we check if the probability of their joint occurrence is equal to the product of their individual probabilities. Mathematically, for events A and B to be independent:

�(�∩�)=�(�)×�(�)

If this equation holds true, then events A and B are considered independent. If it doesn't hold true, they are dependent.

However, without specific probabilities or events A and B provided in your question, I'm unable to perform the calculation to determine their independence. If you can provide the specific probabilities or details of events A and B, I'd be more than happy to help determine their independence.

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