A number is chosen at random from 21
– 32 inclusive. Find the probability that it is a prime or a multiple of 2.

__Solution__*THIS IS A MUTUALLY EXCLUSIVE EVENT*

Let n(S) represent sample space

P(M) = probability of a multiple of
2

P(R) = probability of prime number

n(S) = {21, 22, 23, 24, 25, 26, 27,
28, 29, 30, 31, 32} = 12

n(M) = {22, 24, 26, 28, 30, 32 } = 6

n(R) = {23, 29, 31} = 3

P(M) =

^{6}/12
P(R) =

^{3}/12
………………………….

P(MuR) = P(M) + P(R)

P(MuR) =

^{6}/12 +^{3}/12
=

^{9}/12
=

^{3}/4**P(MuR) =**

^{3}/4 answer

__TRY THIS…………………__
A number is chosen at random from 21
– 30 inclusive. Find the probability that it is a prime number or a multiple of
3.

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