Question

Two standard 6 sided dice are rolled. One is purple and one is green. What is the probability that sum of the two dice on a roll is 7 given that the purple die for that roll landed on 6?

P(Sum of the dice is 7 | Purple Die Landed on 6)

Answer 1

1/6

Explanation:

As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:

purple result + yellow result = 7

6 + yellow result = 7

yellow result = 1

So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6