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What is the probability that a least two persons out of a group of three persons were born in the same month (disregard year)?

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What is the probability that a least two persons out of a group of three persons were born in the same month (disregard year)? 

A. 33/144 

B. 17/72 

C. 1/144 

D. 2/9

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1 Answer

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Best answer

Correct option B.  17/72

Explanation:

Probability of no person born in the same month 

= (12 × 11 × 10)/(12 × 12 × 12) = 110/144 

Probability that at least two persons born in same month = 1 - 110/144 = 17/72

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