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?

1 answer

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.
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