PROBABILITY 1

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.