the probability of guessing right on a 4-option multiple choice item is 1/4 or 0.25. a quiz contains 10 questions. find the probability of getting more than 5 right.

Respuesta :

The probability of getting more than 5 questions right in the quiz is

0.00011445.

Given, the probability of guessing right on a 4-option multiple choice item is 1/4 or 0.25.

A quiz contains 10 questions.

we have to find the probability of getting more than 5 right.

Required Probability = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

Required Probability = (1/4)^6(3/4)^4 + (1/4)^7(3/4)^3 + (1/4)^8(3/4)^2 + (1/4)^9(3/4)^1 + (1/4)^10

Required Probability = 0.000077 + 0.000025 + 0.0000086 + 0.0000029 + 0.00000095

Required Probability = 0.00011445

Hence, the probability of getting more than 5 questions right in the quiz is

0.00011445.

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