Chapter 13.1, Problem 23PPS

To determine

To find number of possible outcomes when two dice are rolled and sum is 8.

Answer to Problem 23PPS

5

Explanation of Solution

Given information: Two dices are rolled

Explanation-

When two dices are rolled, the possible outcomes are 1,2,3,4,5 and 6. TO have sum of 8, there are following ways-

(2,6) , (6,2), (3,5),(5,3) and (6,6).

Hence, 5 different ways to have sum of 8.

To determine

To find number of possible outcomes when sum is an odd number

Answer to Problem 23PPS

18

Explanation of Solution

Given information: Two dices are rolled

Explanation-

The possible odd numbers whose sum may appear are 3,5,7,9 & 11. The ways in which these may be shown on a die are as below-

Outcome	Sum
(1,2)	3
(1,4)	5
(1,6)	7
(2,3)	5
(2,5)	7
(3,4)	7
(3,6)	9
(4,5)	9
(5,6)	11

Outcome	Sum
(2,1)	3
(4,1)	5
(6,1)	7
(3,2)	5
(5,2)	7
(4,3)	7
(6,3)	9
(5,4)	9
(6,5)	11

Hence, there are 18 possible ways in which the sum as odd may be shown on dice.