In a random group of 5 people what is the probability that a

In a random group of 5 people, what is the probability that at least 2 people were born in the same month? (assume that all months have the same numbered days) 0.588 0.598 0.608 0.618 0.628

Solution

Answer is d.

The first person could be born on any of the twelve months. so 12/12

The second person could be born in any of the remaining 11 months. So 11/12

Calculate in the same way for all the five people, then multiplying them,

(12/12)*(11/12)*(10/12)*(9/12)*(8/12)=0.3819

atleast 2 people are born in the same month is 1-0.3819=0.6180.