Suppose a pair of dice are rolled. Consider the sum of the numbers on the top of the dice and find the probabilities. (Enter the probabilities as fractions.)
(a) 6, given that exactly one die came up 2.

Question

Suppose a pair of dice are rolled. Consider the sum of the numbers on the top of the dice and find the probabilities. (Enter the probabilities as fractions.) 
(a) 6, given that exactly one die came up 2.

directrix · Answer

Look at the attached visual of outcomes of a two dice toss.

directrix · Answer

Count the number of throws which yield a sum of 6 with exactly one die showing two dots. (Those dots are also known as "pips.")

directrix · Answer

The chart shows that there are 36 elements in the sample space. So with 36 possible outcomes and 2 of them favorable to "sum of 6 with exactly one 2," what would the probability be?

@klovic