a. find the sample space for this compound experiment. make an organized list, table, ir a tree diagram.
b. how many outcomes ate possible
a. Sample space for rolling a fair 6-sided die and flipping a fair coin:
Die outcomes: 1, 2, 3, 4, 5, 6
Coin outcomes: Heads, Tails
Organized list:
(1, Heads), (1, Tails), (2, Heads), (2, Tails), (3, Heads), (3, Tails), (4, Heads), (4, Tails), (5, Heads), (5, Tails), (6, Heads), (6, Tails)
b. Total outcomes = Number of outcomes on die * Number of outcomes on coin
Total outcomes = 6 * 2 = 12
Therefore, there are 12 possible outcomes in this compound experiment.