Consider the compound experiment: Flip a coin and then a 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?
a. Sample space:
- Coin outcomes: {H, T}
- Number cube outcomes: {1, 2, 3, 4, 5, 6}
Organized list:
{(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 2 coin outcomes and 6 number cube outcomes, so the total number of outcomes possible for the compound experiment is 2 x 6 = 12.