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The probability of exactly no successes in five trials of a binomial experiment in which p = 1 4
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P=1/4
If the probability of success is 1/4, then the probability of failur is 1 - (1/4) = 4/4 - 1/4 = 3/4
Since we have five trials with no successes, ie 5 failures, this means that the probability of this happening is (3/4)*(3/4)*(3/4)*(3/4)*(3/4) I'll let you compute that. Notice how there are 5 copies of 3/4
as a shortcut, you can compute (3/4)^5
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