Question

there are two frnds. what is the probability that the two frnds have 1.different birthdays 2.and the same birthday?

Answer 1

1)1/2
2)1/2 is the correct answer

Answer 2

hey !!!!

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Suppose the two friends are Geeta and Seeta

Let A denote the event that Geeta and Seeta have the same birthday.

and

A'  denote the event that Geeta and Seeta have different birthday.

 

If Geeta and Seeta  have the same birthday,

then their birthday could be on any one of the days from 365 days of the year.

 

∴ Number of cases in favourable of event A = 1

 

Required probability, P(A) = 
$\frac{favourable \: number \: of \: case}{total \: number \: of \: case \: } = \frac{1}{365}$

As, we know that,

 P(A) + P( A' ) = 1

 1/365 + P (A') = 1

=> P(A') =
$1 - \frac{1}{365} = \frac{365 - 1}{365} = \frac{364}{365}$


Probability that Geeta and Seeta have the same birthday = 1/365

Probability that Geeta and Seeta have different birthday = 364/365

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Hope it helps u !!!!!

Cheers ☺☺

# Nikky