Question

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? (1 point) Responses H3 H3 HH HH 12 12 T7 T7

Answer 1

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:

1. **H3** - This is a valid outcome (H from the coin and 3 from the die).
2. **H3** (repeated) - This is again a valid outcome.
3. **HH** - This is invalid because it does not include a die result.
4. **HH** (repeated) - This is still invalid for the same reason.
5. **12** - Invalid. It needs a letter for the coin.
6. **12** (repeated) - Invalid for the same reason.
7. **T7** - Invalid. The die only has outcomes from 1 to 6.
8. **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**.