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

 It seems like the options for the probability assignments are missing from your message. Please provide the options or the specific probability assignments for events A and B so that I can assist you in determining whether events A and B are independent.

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  It appears that the options for the probability assignments are missing from your question. In order to determine whether events A and B are independent, I would need the specific probabilities associated with each event or additional information about the events. In probability theory, two events A and B are considered independent if the occurrence or non-occurrence of one event does not affect the probability of the other event. Mathematically, for independent events A and B: � ( � ∩ � ) = � ( � ) ⋅ � ( � ) P ( A ∩ B ) = P ( A ) ⋅ P ( B ) If you can provide the specific probability assignments or details about events A and B, I can help you determine their independence.
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