Question

The tiles W,I,S,D,O,M are placed on a box. Without looking, Abby picks a letter tile from the box. What is the probabilty that the letter she picks is a vowel? Write your answer in simplest form of a fraction.

Answer 1

The tiles on the box are W, I, S, D, O, M. We need to determine the probability that Abby picks a vowel from these tiles.

First, let's identify the vowels among the letter tiles:

- The letters we have are: W, I, S, D, O, M.
- The vowels in this set are: I, O.

Now, let's count the number of vowels and the total number of letter tiles:

- Total number of tiles = 6 (W, I, S, D, O, M).
- Number of vowels = 2 (I, O).

To find the probability that Abby picks a vowel, we use the formula for probability:

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

Substituting the values we found:

\[
P(\text{vowel}) = \frac{2}{6}
\]

Now, we simplify the fraction:

\[
P(\text{vowel}) = \frac{1}{3}
\]

Thus, the probability that the letter Abby picks is a vowel is:

\[
\boxed{\frac{1}{3}}
\]