What is the probability that a spinner with 26 spaces (labeled A to Z) lands on a vowel (A, E, I, O, or U)? Enter your response as a fraction.

1 answer

To determine the probability that the spinner lands on a vowel, we first identify the total number of spaces and the number of favorable outcomes (the vowels).

The spinner has 26 spaces, which are labeled from A to Z. The vowels among these are:

  • A
  • E
  • I
  • O
  • U

Counting the vowels, we have a total of 5 vowels.

Now, we calculate the probability of landing on a vowel. The probability \( P \) is given by the formula:

\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting in our values:

\[ P = \frac{5 \text{ (vowels)}}{26 \text{ (total spaces)}} \]

Thus, the probability that the spinner lands on a vowel is:

\[ \frac{5}{26} \]

Therefore, the final answer is:

\[ \frac{5}{26} \]