Question

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 ~ 36
L ~ 24
E ~ 40
A ~ 28
N ~ 22
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

Ohh
For the first one I did this:
C ~ 36/ 150 or 6/25
E ~ 40/150 or 4/15
Together it would be 76% probability
What did I do wrong?

Answer 2

Based on the results of the 150 trials, the approximate probability of spinning letters C and E together is 40/150 = 0.267.

The theoretical probability of spinning letters C and E together can be calculated by multiplying the individual probabilities of spinning C and E, which are 36/150 and 40/150 respectively.
Therefore, theoretical probability = (36/150) * (40/150) = 0.096.

Comparing the approximate probability (0.267) with the theoretical probability (0.096), we can see that the theoretical probability is lower than the observed probability.

Answer 3

You calculated the individual probabilities of spinning C and E correctly, but when calculating the probability of spinning both C and E together, you added the probabilities of spinning C and E. However, you should multiply the individual probabilities when calculating the probability of two events occurring together.

Using your calculated individual probabilities:
Probability of spinning C = 6/25 = 0.24
Probability of spinning E = 4/15 = 0.267

Probability of spinning both C and E together = 0.24 * 0.267 = 0.064
Therefore, the correct probability of spinning both C and E together is approximately 0.064 or 6.4%.