Question
Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for both dice) is .
Die 2
Die 1
1
2
3
4
5
6
1
(1,1)
(1,2)
(1,3)
(1,4)
(1,5)
(1,6)
2
(2,1)
(2,2)
(2,3)
(2,4)
(2,5)
(2,6)
3
(3,1)
(3,2)
(3,3)
(3,4)
(3,5)
(3,6)
4
(4,1)
(4,2)
(4,3)
(4,4)
(4,5)
(4,6)
5
(5,1)
(5,2)
(5,3)
(5,4)
(5,5)
(5,6)
6
(6,1)
(6,2)
(6,3)
(6,4)
(6,5)
(6,6)
Question content area bottom
Part 1
One can roll a sum of in
enter your response here way(s).
Die 2
Die 1
1
2
3
4
5
6
1
(1,1)
(1,2)
(1,3)
(1,4)
(1,5)
(1,6)
2
(2,1)
(2,2)
(2,3)
(2,4)
(2,5)
(2,6)
3
(3,1)
(3,2)
(3,3)
(3,4)
(3,5)
(3,6)
4
(4,1)
(4,2)
(4,3)
(4,4)
(4,5)
(4,6)
5
(5,1)
(5,2)
(5,3)
(5,4)
(5,5)
(5,6)
6
(6,1)
(6,2)
(6,3)
(6,4)
(6,5)
(6,6)
Question content area bottom
Part 1
One can roll a sum of in
enter your response here way(s).
Answers
Answered by
GPT 3.5
To determine the number of outcomes where the sum of both dice is 7, we can look at the table. There are 6 possible outcomes where the first die is 1 and the second die is 6, i.e. (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). Similarly, there are 6 possible outcomes where the first die is 6 and the second die is 1. Therefore, the total number of outcomes where the sum is 7 is 6 + 6 = 12.