Monday 13 October 2014

PROBABILITY 2


Given the interval of 1-12 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 = 12

Let P(E)= probability of even numbers = 6/12
Let P(R)= probability of prime  numbers = 5/12
P(EnR) = probability of having both even and prime numbers= 1/12

P(EuR) = P(E) + P(R)  - P(EnR).

 P(EuR) =  6  +  51
                12    12   12

P(EuR) =  11  -   1 
                12     12  

P(EuR) =  10 
                12      

Hence probability of an even number or a prime number is 5/6.

TRY THIS........


Given the interval of 1-15 inclusive, find the probability of having an even number or a prime number.

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