Trial | Selection 1 | Selection 2
1 | E | N
2 | A | C
3 | L | E
4 | C | E
5 | N | A
... | ... | ...
After conducting 150 trials, we can summarize the results in the following table:
Letter Combination | Frequency
C | 25
L | 22
E | 30
A | 34
N | 39
To approximate the probability of spinning C and E, we add up the frequency of both occurrences:
Probability(C and E) = Frequency of C + Frequency of E
Probability(C and E) = 25 + 30 = 55
Therefore, the probability of spinning C and E is 55/150 = 0.3667 or 36.67%.
To calculate the theoretical probability of spinning CNE, we need to multiply the individual probabilities of spinning each letter:
Probability(C) * Probability(N) * Probability(E) = 25/150 * 39/150 * 30/150 = 0.0367 or 3.67%
Comparing this with the approximation from part C, we see that the theoretical probability of spinning CNE is lower than the actual probability of spinning C and E. This could be due to chance or the limitations of the simulation.