Question

# Find the probability of guessing correctly at most three of the seven answers in a True or False objective test.

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Solution

## Let the probability of True be p and he probability of False be q thenp=12 and q=12For at most three success, there might be 1 true answer or 2 true answers or 3 true answers.Therefore the required probability (P) using Burnoli's probability formula as, = 7C0p0q7+7C1 pq6+7C2 p2q5+7C3 p3q4= (12)7+7 (12)7+21 (12)7+ 35(12)7= 64 (12)7=12.This is the required solution.

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