PROBABILITY C14

Given the interval of 1-10 inclusive, Find the probability of having an even number or a prime number.

Solution

This is a non-mutually exclusive event.

n(S) = number of sample space = 10

Let P(E)= probability of even numbers = ⁵/10

Let P(R)= probability of prime  numbers = ⁴/10

P(EnR) = probability of having both even and prime numbers= ¹/10

∴ P(EuR) = P(E) + P(R)  - P(EnR).

 P(EuR) =  5  +  4 – 1

                10    10   10

P(EuR) =  9  -   1 

                10    10  

P(EuR) =  8 

                10       

Hence probability of an even number or a prime number is ^8/10.

TRY THIS..............

Given the interval of 11-20 inclusive, Find the probability of having an odd number or a prime number.