Question

Probability that 2 people were born in the same month

Answer 1

Solution:

A person can have birthday in any of the 12 months of the year. Another person can also have his/her birthday in any of the 12 months. Now, the total number of possible combinations is 12*12 , which equals 144.

This set of all possible combinations contains 12 pairs of identical months {for example (Jan,Jan) (Feb, Feb), which are our favorable outcomes.

Thus the probability =

(Number of favorable outcomes)/(Number of events in sample space)=

12/(12*12)=1/12

Answer: 1/12

Hope this help!