Concept explainers
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 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.
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