An experiment consists of tossing a die and then flipping a

An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, a beverage is selected at random from the options of Dr Pepper, Coca Cola, and Milk. List the elements of the sample space for this experiment.

Solution

Let H = heads
T = tails
D = Dr Pepper
C = Coca Cola
M = Milk

Let the numbers be the results of the die roll.

These are the possible results:

{2H, 2T, 4H, 4T, 6H, 6T, 1D, 1C, 1M, 3D, 3C, 3M, 5D, 5C, 5M} [ANSWER]