Monday, 13 October 2014
Given the interval of 1-12 inclusive, Find the probability of having an even number or a prime number.
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 + 5 – 1
12 12 12
P(EuR) = 11 - 1
P(EuR) = 10
Hence probability of an even number or a prime number is 5/6.
Given the interval of 1-15 inclusive, find the probability of having an even number or a prime number.