Question

Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximum value to appear in the two rolls; (b) the minimum value to appear in the two rolls; (c) the sum of the two rolls; (d) the value of the first roll minus the value of the second roll?

Answer 1

See explanation

Explanation:

Suppose that a die is rolled twice. Each time one of 6 numbers (1, 2, 3, 4, 5, 6) can be rolled.

A. the maximum value to appear in the two rolls is 6

B. the minimum value to appear in the two rolls is 1

C. the sum of the two rolls can vary from 2 to 12 (it can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)

D. the value of the first roll minus the value of the second roll can very from -5 to 5 (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)

Here -5 can be obtained as 1 - 6 (1 on the first roll and 6 on thesecond roll), -4 can be obtained as 1 - 5 or 2 - 6 and so on.