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Mathematics

The probability that two boys do not have the same birthday is 0.897. What is the probability that the two boys have the same birthday ?

Probability

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Answer

We know that,

Since, the boys having birthday on same date and different date are complimentary events.

∴ P(do not have the same birthday) + P(having same birthday) = 1

⇒ 0.897 + P(having same birthday) = 1

⇒ P(having same birthday) = 1 - 0.897

⇒ P(having same birthday) = 0.103

Hence, the probability that the two boys have same birthday = 0.103

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