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A and B are friends. Ignoring the leap year, find the probability that both friends will have the same birthday? - Mathematics

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प्रश्न

A and B are friends. Ignoring the leap year, find the probability that both friends will have the same birthday? 

योग

उत्तर

Out of the two friends, A's birthday can be any day of the year. Now, B's birthday can also be any day of 365 days in the year. 

We assume that these 365 outcomes are equally likely.  

P(A and B have the same birthday) 

= 1 – P(both have different birthdays) 

= `1 - 364/365`  ...[Using P(E') = 1 – P(E)] 

= `1/365`

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अध्याय 25: Probability - Exercise 25 (C) [पृष्ठ ३९४]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 25 Probability
Exercise 25 (C) | Q 5.2 | पृष्ठ ३९४

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