To approximate the probability of spinning the letters C and E based on your results, you can use the formula:
\[ P(\text{letter}) = \frac{\text{Number of times the letter was spun}}{\text{Total spins}} \]
From your results:
- You spun C a total of 8 times.
- You spun E a total of 3 times.
- The total number of spins is 30.
Now, calculate the probabilities for each letter:
-
Probability of C: \[ P(C) = \frac{8}{30} = \frac{4}{15} \approx 0.267 \text{ or } 26.7% \]
-
Probability of E: \[ P(E) = \frac{3}{30} = \frac{1}{10} = 0.1 \text{ or } 10% \]
To find the combined probability of spinning either C or E, you can add these two probabilities together (since they are mutually exclusive events):
\[ P(C \text{ or } E) = P(C) + P(E) = \frac{4}{15} + \frac{1}{10} \]
To add these fractions, you need a common denominator. The least common multiple of 15 and 10 is 30.
Convert each fraction: \[ P(C) = \frac{4}{15} = \frac{8}{30} \] \[ P(E) = \frac{1}{10} = \frac{3}{30} \]
Now, add them: \[ P(C \text{ or } E) = \frac{8}{30} + \frac{3}{30} = \frac{11}{30} \]
Finally, you can express this as a decimal and percentage: \[ P(C \text{ or } E) \approx 0.367 \text{ or } 36.7% \]
Thus, the approximate probabilities are:
- \( P(C) \approx 26.7% \)
- \( P(E) \approx 10% \)
- \( P(C \text{ or } E) \approx 36.7% \)