Respuesta :
For 4:
You can do-
- 1 and 3
- 2 and 2
For 11 you can do-
- 1 and 10
- 2 and 9
- 3 and 8
- 4 and 7
- 5 and 6
So you can roll 2 different ways to get a sum of 4, and 5 different ways to get a sum of 11
You can do-
- 1 and 3
- 2 and 2
For 11 you can do-
- 1 and 10
- 2 and 9
- 3 and 8
- 4 and 7
- 5 and 6
So you can roll 2 different ways to get a sum of 4, and 5 different ways to get a sum of 11
The sum of 4 and a sum of 11 with a pair of dice is 2 and 1 respectively.
Permutation and combination
A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Given
Pair of dice.
To find
The sum of 4 or a sum of 11 with a pair of dice.
How to find the sum of 4 or a sum of 11 with a pair of dice?
All the possibilities are shown
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
For the sum of 4 the combination are 2. That are
(1,3) or (3,1) and (2,2)
For the sum of 11 the combination are 1. That are
(5,6) or (6,5)
The sum of 4 and a sum of 11 with a pair of dice is 2 and 1 respectively.
More about the permutation and combination link is given below.
https://brainly.com/question/11732255