PROBABILITY K1

 Given the interval of 1-16 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 = 14

 

Let P(E)= probability of even numbers = ⁸/14

Let P(R)= probability of prime  numbers = ⁶/14

P(EnR) = probability of having both even and prime numbers= ¹/14

 

∴ P(EuR) = P(E) + P(R)  - P(EnR).

 

 P(EuR) =  8  +  6 – 1

                14    14   14

 

P(EuR) =  14  -   1 

                14     14  

 

P(EuR) =  13   

                14         

 

Hence probability of an even number or a prime number is ^13/14  .

 

TRY THIS........

 

 

Given the interval of 1-18 inclusive, find the probability of having an even number or a prime number