Question

1. Two​ 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10​?

2. A lottery game has balls numbered 1 through 19. What is the probability that a randomly selected ball has an even number or a 10.

Answer 1

1. If two 6-sided dice are rolled,

Favorable sample points = {the sum of the two numbers on the dice > 10} = {the sum of the two numbers on the dice = 11, 12} = { (5,6),(6,5),(6,6) }

Total number of sample points = 6² = 36

The probability that the sum of the two numbers on the dice will be greater than 10

2. Favorable sample points = {2,4,6,8,10,12,14,16,18}

Total number of sample points = 19

The probability that a randomly selected ball has an even number or a 10

= P( ball number = 2) + P(ball number = 4) + P(ball number = 6) + P(ball number = 8) + P(ball number = 10) + P(ball number = 12) + P( ball number = 14) + P(ball number = 16) + P(ball number = 18)