Wednesday, 26 February 2014
Given the interval of 1-10 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 = 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
P(EuR) = 8
Hence probability of an even number or a prime number is 8/10.
Given the interval of 11-20 inclusive, Find the probability of having an odd number or a prime number.