Probability of Combimed Events

Question

Two fair dice are tossed simultaneously. Find the probability of getting

(a) prime numbers and odd numbers.

(b) an even number or a number greater than 4.

Answer 1

Prime numbers are 2, 3, 5 and odd numbers is 1, 3, 5

a) So, P(prime and odd) = 3/6·3/6 = 1/4

b) P(prime or odd) = 3/6 + 3/6 - 2/6 = 2/3