Given the interval of 1-15 inclusive, Find the
probability of having an even number or a multiple of four.

__Solution__
This is a non-mutually exclusive event.

n(S) =
number of sample space = 15.

Let P(E)=
probability of even numbers =

^{7}/15
Let P(M)=
probability of multiple of four =

^{3}/15
P(EnM) =
probability of having both even and multiple of 4 =

^{3}/15
∴ P(EuM) =
P(E) + P(M) - P(EnM).

P(EuM) =

__7__+__3__–__3__
15 15
15

P(EuM) =

__10__-__3__
15 15

P(EuM) =

__7__
15

**Hence probability of an even number or a multiple of four is**

^{7/}15.

__TRY THIS……………__
Given the interval of 1-15 inclusive, Find the
probability of having an even number or a prime number.