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How do you find the probability of guessing exactly three four choice multiple choice questions out of five?
Wiki User
∙ 9y ago
The probability of guessing any one is 1 out of 4, or 0.25.
Assume that the choices are made independently. Then, if X is the random variable which represents the number of successes (correct guesses), X is a Binomial variable with n = 5 and p = 0.25.
Then Prob(X = 3) = 5C3*p^3*(1-p)^(n-3)
= 10*(0.25)^3*(0.75)^2
= 0.088, approx.
Wiki User
∙ 9y ago
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