2 answers

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Question:

Consider any two random people being selected. (ignore leap years)
What is the probability that two people have a birthday on the 5^{th} of any month?

(12/365)^2 is not the right answer

(12/365)*2 is not the right answer

12/365^2 is not the right answer


Answers

There are 2 people.
probability that 1st man has his b'day on 5th of jan+feb+march+april+.....+december = 1/31 + 1/30 +1/28 + 1/31 +.....+1/31 = (1/31) x 7 + (1/30) x 4 + 1/28= 169/420
Now, same will be for 2nd man = 169/420
So, probability that both people have b'day on 5th: (169/420)^2


:).

There are 2 people.
probability that 1st man has his b'day on 5th of jan+feb+march+april+.....+december = 1/31 + 1/30 +1/28 + 1/31 +.....+1/31 = (1/31) x 7 + (1/30) x 4 + 1/28= 169/420
Now, same will be for 2nd man = 169/420
So, probability that both people have b'day on 5th: (169/420)^2
.

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