Question

Jo flips a coin {H, T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}. How many possible outcomes are in the sample space of this experiment? (1 point) Responses 4 4 8 8 12 12 36

Answer 1

To find the number of possible outcomes in the sample space of Jo's experiment, we need to consider the two actions being performed: flipping a coin and rolling a die.

1. **Flipping a coin**: There are 2 possible outcomes (Heads (H) or Tails (T)).
2. **Rolling a 6-sided die**: There are 6 possible outcomes (1, 2, 3, 4, 5, or 6).

To find the total number of possible outcomes, we multiply the number of outcomes from the first action by the number of outcomes from the second action:

\[
\text{Total outcomes} = (\text{Outcomes from flipping a coin}) \times (\text{Outcomes from rolling a die}) = 2 \times 6 = 12.
\]

Therefore, the number of possible outcomes in the sample space of this experiment is **12**.