Question

Chanel rolls a 6-sided die {1, 2, 3, 4, 5, 6}, and then flips a coin {H,T} Which outcome is in the sample space of this experiment? (1 point) Responses 5H 5H T3 T3 24 24 TH

Answer 1

In this experiment, Chanel rolls a 6-sided die and flips a coin. The possible outcomes of rolling the die are {1, 2, 3, 4, 5, 6} and the possible outcomes of flipping the coin are {H, T}. The sample space for the experiment consists of all combinations of the die rolls and coin flips.

The outcomes in the sample space can be represented as pairs (Die Roll, Coin Flip), which results in the following outcomes:
- (1, H)
- (1, T)
- (2, H)
- (2, T)
- (3, H)
- (3, T)
- (4, H)
- (4, T)
- (5, H)
- (5, T)
- (6, H)
- (6, T)

Now, evaluating the options given:

- **5H** (represents the outcome (5, H))
- **5H T** (not a valid format)
- **3 T** (not a valid format)
- **24** (not a valid format)
- **24 TH** (not a valid format)
- **TH** (not a valid format)

The only valid outcome in the provided options is **5H**, which corresponds to rolling a 5 and flipping heads.

So, the outcome in the sample space of this experiment is: **5H**.