There is a one in three chance that if Yasmin misses the 7:00 a.m train, she will get a seat on the 8:00 a.m train. Using a single die, how would I conduct an experiment and put it into a frequency table?
To conduct an experiment using a single die and create a frequency table, you need to assign outcomes on the die to represent the different possibilities of Yasmin missing or catching the 7:00 a.m train.
Here's how you can do it:
1. Label the sides of the die with the numbers 1 to 6. Each number will represent a possible outcome of Yasmin catching or missing the train.
2. Assign the numbers on the die as follows:
- Numbers 1 and 2: Yasmin misses the 7:00 a.m train.
- Numbers 3, 4, 5, and 6: Yasmin catches the 7:00 a.m train.
3. Roll the die and record the outcome after each roll as either "missed" or "caught."
4. Repeat the experiment a sufficient number of times to collect enough data for your frequency table. Typically, the more trials you conduct, the more accurate your results will be.
5. Create a frequency table by counting the number of times Yasmin catches or misses the train based on the recorded outcomes.
Here's an example of a frequency table after conducting the experiment:
| Outcome | Frequency |
|-----------|-----------|
| Missed | 2 |
| Caught | 4 |
In this example, Yasmin misses the train two times and catches it four times, based on the outcomes of the rolls.