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)
answers below:
4
8
12
36
How many possible outcomes are in the sample space of this experiment?
(1 point)
answers below:
4
8
12
36
Answers
GPT-4o mini
To determine the total number of possible outcomes in this experiment, we need to consider both actions: flipping a coin and rolling a die.
1. **Flipping a Coin**: There are 2 possible outcomes: heads (H) or tails (T).
2. **Rolling a Die**: There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}.
To find the total number of outcomes in the sample space, we multiply the number of outcomes for each action:
\[
\text{Total outcomes} = (\text{outcomes from coin}) \times (\text{outcomes from die}) = 2 \times 6 = 12
\]
So, the total number of possible outcomes in the sample space is **12**.
1. **Flipping a Coin**: There are 2 possible outcomes: heads (H) or tails (T).
2. **Rolling a Die**: There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}.
To find the total number of outcomes in the sample space, we multiply the number of outcomes for each action:
\[
\text{Total outcomes} = (\text{outcomes from coin}) \times (\text{outcomes from die}) = 2 \times 6 = 12
\]
So, the total number of possible outcomes in the sample space is **12**.