Question

If you roll two four-sided dice (numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 3?

Answer 1

The probability that the sum of the dice is 3, is 3/16.

Explanation:

It is given that two four-sided dice are rolled.

Total number of sides of each dice = 4

Possible values for each dice = 1,2,3,4

If two four-sided dice are rolled, then the total possible outcomes are

`A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}`

Total number of possible outcomes = 16

The sum of the dice is 3.

`\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}`

Total number of favorable outcomes = 3

The probability that the sum of the dice is 3.

`Probabilty=(3)/(16)`

Therefore the probability that the sum of the dice is 3, is 3/16.