Question

Alma and Blanca are playing a game where they roll a pair of fair six-sided dice and try to predict the outcomes. Blanca thinks that the probability of rolling a one and a five is greater than the probability of rolling a one or a five. Alma disagrees. She thinks that the probability of rolling a one or a five is greater.

Based on the sample space of possible outcomes listed below, who is correct, Alma or Blanca?

Answer 1

Alma is correct.

Explanation:

It is a greater change to roll a 1 or a 5 then both. The chances of rolling both can be a bit high but it is also an easier chance that you will roll one of the other.

If you have 2 dice. To roll a 1 and a 5 you only get one change. But to roll one or the other you have 2 different chances. Therefore if you were to roll both dice you have a higher chance to roll a 1 or a 5 with having two dice.