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.
. Calculate the theoretical probability of spinning letters C and E. Compare
the result with part (
c = 25
e = 63
a. Simulation of random selection of two letters with repetition from the word CLEAN:
Trial 1: C, E
Trial 2: E, N
Trial 3: E, E
Trial 4: C, N
Trial 5: A, L
... (continue simulating 150 trials)
b. Results summarized in a table:
| Trial | Letter 1 | Letter 2 |
|-------|----------|----------|
| 1 | C | E |
| 2 | E | N |
| 3 | E | E |
| 4 | C | N |
| 5 | A | L |
| ... | | |
c. Theoretical probability of spinning letters C and E:
Total number of all possible outcomes = 5 (C, L, E, A, N)
Total number of outcomes where C and E are spun = 1 (only C and E)
Theoretical probability = 1/5 = 0.2
Comparison with simulation results:
- Number of trials where C and E were spun = [count from simulation results]
- Experimental probability = (Number of trials with C and E)/(Total number of trials)