Jo flips a coin {H,T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}.
Which of the following outcomes are in the sample space of this experiment?
A. H3
B. HH
C. 12
D. T7
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.