In this experiment, Jo flips a coin and then rolls a 6-sided die. The sample space consists of all possible combinations of the coin flip outcomes (H for heads and T for tails) and the die outcomes (1, 2, 3, 4, 5, 6).
The possible outcomes in the sample space are:
- H1, H2, H3, H4, H5, H6 (if the coin shows heads)
- T1, T2, T3, T4, T5, T6 (if the coin shows tails)
Now, let's evaluate the given options:
- H3 - This is a valid outcome (H from the coin and 3 from the die).
- H3 (repeated) - This is again a valid outcome.
- HH - This is invalid because it does not include a die result.
- HH (repeated) - This is still invalid for the same reason.
- 12 - Invalid. It needs a letter for the coin.
- 12 (repeated) - Invalid for the same reason.
- T7 - Invalid. The die only has outcomes from 1 to 6.
- T7 (repeated) - Invalid for the same reason.
Thus, the only outcomes from the provided options that are in the sample space are both instances of H3.