Latest self Aptitude Question SOLUTION: How likely is it that 2 out of 5 children have the same birthday?

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(#M40008228) SELF question Birthday Keep an EYE

How likely is it that 2 out of 5 children have the same birthday?

dhilip (12 years ago)

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Govind  (12 years ago)

1- (364/365)*(363/365)*((362/365)*(361/365)

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Ashu  (12 years ago)

If there are 5 children, ABCDE

Probability of not having same birthday as that of A = 364/365
Probability of not having same birthday as that of B = 363/365
Probability of not having same birthday as that of C = 362/365
Probability of not having same birthday as that of D = 361/365

Probability of not having same birthday among all 5 children = (364/365)*(363/365)*((362/365)*(361/365)

Probability of having same birthday by any 2 among all 5 children = 1- (364/365)*(363/365)*((362/365)*(361/365)

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