In this experiment, Chanel rolls a 6-sided die and flips a coin. The sample space consists of all possible pairs of outcomes from the die and the coin.
The possible outcomes from the die are {1, 2, 3, 4, 5, 6} and the outcomes from the coin are {H, T}.
So the sample space can be represented as follows:
- For rolling a 1: {1H, 1T}
- For rolling a 2: {2H, 2T}
- For rolling a 3: {3H, 3T}
- For rolling a 4: {4H, 4T}
- For rolling a 5: {5H, 5T}
- For rolling a 6: {6H, 6T}
Each outcome is a combination of a die roll and a coin flip.
Looking at the responses provided:
- 5H is a valid outcome (it represents rolling a 5 and flipping heads).
- 5H (duplicate response so same as the first) is also valid.
- T3 is not valid (it does not follow the format of die roll then coin flip).
- T3 (duplicate response) is also not valid.
- 24 is not valid (it's not a proper outcome).
- TH is not valid (it implies the die roll is absent or misplaced).
So, the valid outcomes in this question are the combinations of die rolls and coin flips. The correct answer from the given choices that is in the sample space is 5H.
4 answers