Chanel rolls a 6-sided die {1, 2, 3, 4, 5, 6}, and then flips a coin {H, T}.

Question

Which outcome is in the sample space of this experiment?
A. 5H
B. T3
C. 24
D. TH

Answer 1

The sample space is the set of all possible outcomes of an experiment.

The possible outcomes for rolling a 6-sided die are {1, 2, 3, 4, 5, 6} and the possible outcomes for flipping a coin are {H, T}.

Therefore, the sample space for rolling a die and flipping a coin is the combination of the two sets: {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T}.

Out of the options given, only option D. TH is in the sample space.