determine whether the events are mutually exclusive event A

determine whether the events are mutually exclusive

event A: randomly select a student born on the 30th of a moth

event B: randomy select a student with a birthday in febuary

Solution

Two events A and B are mutually exclusive when P(A U B) = P(A) + P(B)

or p(A intersection B) = 0

in the problem

P(A intersection B) is a student who is born on the febuary 30th , which is improbable

hence P( A intersection B ) = 0

so, the events are mutually exclusive