Question

Two 6-sided dice are rolled. what is the probability the sum of the two numbers on the die will be 4?

Answer 1

1+3=4. 2+2=4. 3+1=4.
3/6 or 1/2 if only addition
5-1=4. 6-2=4.
2/6 or 1/3 if only subtraction
if both 5/6

Answer 2

`(1)/(12)`.

Explanation:

Given : Two 6-sided dice are rolled.

To find : what is the probability the sum of the two numbers on the die will be 4.

Solution : We have given

Two 6-sided dice are rolled.

Dice have number { 1,2,3,4,5,6} { 1,2,3,4,5,6} .

`Probability =(outcome\ happn)/(total\ outcome)`.

sum of the two numbers on the die will be 4.

Case (1) : first dice rolled 3 and second dice rolled 1.

{3,1}

3 +1 = 4 .

Case (2) : first dice rolled 1 and second dice rolled 3 .

{1,3}

1 + 3 = 4 .

Case (3) : first dice rolled 2 and second dice rolled 2.

{2,2}

2 + 2 = 4.

Then there are 3 possible outcomes where the sum of the two dice is equal to 4.

The number of total possible outcomes = 36.

`Probability =(3)/(36)`.

`Probability =(1)/(12)`.

Probability of getting sum of two dice is
`(1)/(12)`.

Therefore,
`(1)/(12)`.