Question

The outcomes for rolling two number cubes numbered 1 through 6 are shown. What is the probability that the sum of the number of cubes will be 7 or 4?

Answer 1

Step-by-step explanation:

Probability of getting 7 = Number of favorable outcomes/Total number of outcomes

Substituting the values

P(Getting a sum 7) = 6/36

= 1/6

Therefore, getting the chances the sum of the roll will be 7 is 1/6.

Answer 2

The chance that the total number of cubes is going to be 7 or 4 is 0.25.

Explanation:

(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 outcomes as a result of 2 dice being thrown. So, the overall range of outcomes is 36.

• The number of favorable outcomes is 9.

        (1,3), (1,6)

        (2,2), (2,5)

        (3,1), (3,4)

        (4,3)

        (5,2)

        (6,1)

• So the chance of obtaining a total of seven or four, is that the range of favorable outcomes / total range of outcomes that is 9/36 = 1/4 = 0.25

Hence, the probability of getting a sum of 7 or 4 is 0.25