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

Question

Which of the following outcomes are in the sample space of this experiment?
A. H3
B. HH
C. 12
D. T7

Answer 1

The sample space of this experiment consists of all possible outcomes, which can be found by listing all the possible combinations of the coin flip and die roll.

A. H3: This outcome represents a coin flip of heads and a die roll of 3. This outcome is in the sample space.
B. HH: This outcome represents a coin flip of heads and a coin flip of heads. Since the coin is only flipped once, this outcome is not in the sample space.
C. 12: This outcome represents a coin flip of 1 and a die roll of 2. This outcome is not in the sample space since the coin flip can only result in heads (H) or tails (T).
D. T7: This outcome represents a coin flip of tails and a die roll of 7. This outcome is not in the sample space since the die can only result in numbers 1-6.

Therefore, the outcomes in the sample space of this experiment are A. H3.