Sarah rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 6

22.22% probability of getting a total that is a factor of 6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have these possible outcomes:

Format(Dice A, Dice B)

(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)

There are 36 possible outcomes.

Cases in which the total are factor of 6:

The factors of 6 are the number for which 6 is divisible by, so 1,2,3 and 6.

The cases that have these totals are:

(1,1), (1,2), (1,5) (2,1), (2,4), (3,3), (4,2), (5,1)

8 outcomes, out of 36

8/36 = 0.2222

22.22% probability of getting a total that is a factor of 6

irrational, cannot