In a game of craps you roll two fair dice Whether you win or

In a game of craps, you roll two fair dice. Whether you win or lose depends on the sum of the numbers occurring on the tops of the dice. Let x be the random variable that represents the sum of the numbers on the tops of the dice.
(a) What values can x take on? (Enter your answers as a comma-separated list.)

Solution

Each die has numbers 1 to 6 on its face

When two dice are thrown sums can be minimum 1+1 =2, and max = 6+6 =12

Thus x = sum of two readings can take values as

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