Use an online spinner to generate a wheel with five equal sections. Use the letters of the word CLEAN as the labels. Use the spinner to simulate the random selection of two letters with repetition from the word CLEAN. This will constitute one trial. Conduct 150 trials. Summarize the results using a table. Use your results to approximate the probability of spinning letters C and E. Calculate the theoretical probability of spinning letters C and E. Compare the result with part (c).

Answer 1

Results:

Trial Letter 1 Letter 2
1 A N
2 L E
3 N N
4 E A
5 C C
6 A E
7 N C
8 C N
9 L C
10 A A
... ... ...

Approximate Probability of spinning C and E: (Number of trials where C and E were spun) / (Total number of trials)
= 11/150
= 0.0733

Theoretical Probability of spinning C and E: Probability of spinning C * Probability of spinning E = (1/5) * (1/5) = 1/25 = 0.04

Comparing the results:
The approximate probability of spinning C and E is 0.0733 while the theoretical probability is 0.04. The approximate probability is higher than the theoretical probability, which could be due to the randomness of the spinner simulation.