Consider the compound experiment: Flip a coin and then roll a number cube.

a. Sample space: {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

(H = Heads, T = Tails)

b. There are 12 possible outcomes.

a number cube only has 6 sides tho

Apologies for the mistake in the sample space. Consider the corrected sample space for the compound experiment:

a. 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)}
(H = Heads, T = Tails)

b. There are 12 possible outcomes.