Question

A and B are frnds. ignoring the leap year, find the probability that both frnds will have: 1.different birthdays? 2. same birthday? plz answer the question the correct one will be mark as brainliest.

Answer 1

We know that number of days in a year = 365.

Since there are two birthdays, therefore the sample space will be 

n(S) = 365 * 365.


(1) Let E be the event that A and B have different birthdays.

A can have the birthday on any of the 365 days and B have can birthday on any of the remaining 364 days.

n(A) = 365 * 364


Therefore the required probability P(A) = n(A)/n(S)

                                                                   = 365 * 364/365 * 365

                                                                   = 364/365.




(2) Let E1 be the event that A and B have the same birthday.

n(E1) = 1 - P(A)

         = 1 - 364/365

         = 1/365.



Hope this helps!  ------------- Good Luck.