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in how many ways can you roll either a sum of 4 or a sum of 11 with a pair of dice?

(I don't understand the mathematical way)

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

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