Use an online spinner to generate a wheel with five equal sections. Use the
letters of the word CLEAN as the labels.
a. Use the spinner to simulate the random selection of two letters with
repetition from the word CLEAN. This will constitute one trial.
b. Conduct 150 trials. Summarize the results using a table.
c. Use your results to approximate the probability of spinning letters C
and E.
d. Calculate the theoretical probability of spinning letters C and E. Compare
the result with part (c).
a. After simulating the random selection of two letters with repetition from the word CLEAN, the results for 10 trials are as follows:
1. E, N
2. A, N
3. C, E
4. L, A
5. E, C
6. N, C
7. A, E
8. C, L
9. L, C
10. E, N
b. Table summarizing the results of 150 trials:
| Trial | Result |
|-------|--------|
| 1 | E, N |
| 2 | A, N |
| 3 | C, E |
| 4 | L, A |
| 5 | E, C |
| ... | ... |
| 150 | L, E |
c. Approximate probability of spinning letters C and E:
Number of times C and E were spun: 23
Total number of trials: 150
Approximate probability = 23/150 = 0.1533
d. Theoretical probability of spinning letters C and E:
Number of ways to get C and E: 1 (CE)
Total number of possible outcomes: 5 * 5 = 25
Theoretical probability = 1/25 = 0.04
Comparison:
The approximate probability (0.1533) obtained from the simulation is higher than the theoretical probability (0.04). This could be due to randomness and variability in the results obtained from the simulation.