question_answer 14)

Given that the two numbers appearing on throwing two dice are different. Find the probability of the event the sum of numbers on the dice is 4. 

Answer:

n(S) = 36       Let A = event of getting different numbers on the dise.       = {(1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 4), (3, 5), (3, 6), (5, 4), (4, 2), (4, 3), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 6), (6, 1),(6, 2), (6, 3), (6, 3), (6, 4), (6, 5)}.             and B = event of getting sum 4             = {(1, 3), (2, 3), (3, 1)}                         Required Probability