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? Captionless Image 1/6 1/12 1/4 11/36

Answer 1

Answer:

Image 1/6 1/12 1/4 11/36

Answer 2

Answer:

The probability of getting the sum of the number of cubes will be $7$ or $4$ is $0.25$.

Step-by-step explanation:

Total outcomes:

$(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)\\ (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\ (3,1),(3,2),(3,3),(3,4),(3,5),(3,6)$

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 $9$.

Favorable outcomes: $(1,3),(1,6)(2,2),(2,5)(3,1),(3,4)(4,3)(5,2)(6,1)$

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 the sum of the number of cubes will be $7$ or $4$ is $0.25$.