Question

If you roll two six-sided dice, what is the probability that at least one dies shows a 5 ?

Answer 1

`(11)/(36) = 0.3056` probability that at least one dies shows a 5.

Explanation:

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

Each dice:

6 sides, one of which is 5.

So 6-1/6 = 5/6 probability of rolling a 5.

Probability of not rolling a five in two rolls:

(5/6)^2 = 25/36

Probability of rolling a five in at least one of the rolls:

`p = 1 - (25)/(36) = (36)/(36) - (25)/(36) = (11)/(36) = 0.3056`

`(11)/(36) = 0.3056` probability that at least one dies shows a 5.