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A student is writing a multiple choice test consisting of 40 questinos, each of witch provides 4 possible choices. He is certain that he has

A student is writing a multiple choice test consisting of 40 questinos, each of witch provides 4 possible choices. He is certain that he has 16 questions correct. If he guesses for all of the remaining 24 questions, what is the probability that he will pass the test? Hint: There are only 24 questions left to choose from.

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