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A test is composed of six multiple choice questions where each question has 4 choices. If the answer choices for each question are equally likely, find the probability of answering more than 4 questions correctly

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Use the binomial distribution, with parameters 6 and 1/4. Add up the probabilities for x=5 and x=6.

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The probability of answering 5/6 = (1/4)^5 * 3/4

The probability of answering all 6 = (1/4)^6

Either-or probabilities are found by adding the separate probabilities.

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