Question

when two balanced dice are rolled, 36 equally likely outcomes are possible, as depicted in the accompanying figure. let y denote the sum of the dice. complete parts (a) through (g) below. click the icon to view the possible outcomes for rolling a pair of dice. a. what are the possible values of the random variable y? y = (type whole numbers. use a comma to separate answers as needed.) possible outcomes for rolling a pair of dice

Explanation:

Step1: Consider minimum sum

The minimum value on each die is 1. So the minimum sum when rolling two dice is $1 + 1=2$.

Step2: Consider maximum sum

The maximum value on each die is 6. So the maximum sum when rolling two dice is $6 + 6 = 12$.

Step3: List all possible sums

The possible sums range from 2 to 12. So the possible values of Y are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

Answer:

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12