Question

Two number cubes are rolled. If all numbers are equally likely, what is the probability that the sum is 8?
6/36 ≈ 17%
4/36 ≈ 11%
8/36 ≈ 22%
5/36 ≈ 14%

Answer 1

if ask you about probability of sum of two cubes from 2 to 7 ,probability is (n-1)/36
if ask you about probability of sum of two cubes from 8 to 12 ,probability is (13-n)/36

Answer 2

The probability that the sum is 8 is 5/36 ≈ 14%.

What is probability?

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".

For the given situation,

The sample space for rolling two cubes,

s = { (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) }

⇒$n(s)=36$

The event is getting the sum 8,

$e=$ { $(2,6), (3,5), (4,4), (5,3), (6,2)$ }

⇒$n(e)=5$

The formula to find the probability of event, $P(e)=\frac{n(e)}{n(s)}$

⇒$P(e)=\frac{5}{6}$

⇒$P(e)=13.8\%$ ≈ $14\%$

Hence we can conclude that the probability that the sum is 8 is          5/36 ≈ 14%.

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