Tuesday, 26 December 2017

PROBABILITY 2


A number is chosen at random from 1 – 10 inclusive. Find the probability that it is a multiple of five or an even number.

Solution

THIS IS A MUTUALLY EXCLUSIVE EVENT.

Let n(S) represent sample space
P(E) = probability of even number
P(M) = probability of a multiple of 5

n(S) = {1, 2, 3, 4, 5, 6, 7, 8, 9,10} = 10
n(E) = {2, 4, 6, 8, 10} = 5
n(M) = {5,10} = 2
P(E) = 5/10
P(M) = 2/10
………………………….
P(EuM) = P(E) + P(M)

P(EuM) = 5/10 + 2/10

P(EuM) = 7/10

TRY THIS………………

A number is chosen at random from 17 – 24 inclusive. Find the probability that it is a prime or an even number.

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