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Mathematics
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A student guesses the answers to 6 questions on a true-false quiz. Find the probability that the indicated number of guesses are correct: exactly 4
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well this is a binomial probability question where the probability of success is p = 1/2 and probability of failure is 1/2 and you are choosing 4 from 6 so its \[P( 4 ) = ^6C_{4}(0.5)^{6-4}(0.5)^4\] just evaluate
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