Consider the compound experiment:

Question

Flip a coin and then roll a number cube.
a. Find the sample space for this compound experiment. Make an organized list, table, or a tree diagram.
b. How many outcomes are possible?

Answer 1

a. Sample space for flipping a coin: {H, T}
Sample space for rolling a number cube: {1, 2, 3, 4, 5, 6}

Combined sample space:
{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

b. There are 12 possible outcomes in this compound experiment.