Question

Use the table to answer the question. A popular word game starts with 100 letter tiles in a bag. The table shows the distribution for the vowels. Vowel A E I O U Number of Tiles 9 12 9 8 4 What is the probability that a vowel is selected on the first draw? (1 point) Responses 325 3 25 2150 21 50 27 2 7 322

Answer 1

To find the probability of selecting a vowel on the first draw from the bag of letter tiles, we first calculate the total number of vowels based on the given distribution:

- Number of A tiles = 9
- Number of E tiles = 12
- Number of I tiles = 9
- Number of O tiles = 8
- Number of U tiles = 4

Now, let's calculate the total number of vowel tiles:

Total number of vowels = 9 (A) + 12 (E) + 9 (I) + 8 (O) + 4 (U) = 42

Next, the total number of tiles in the bag is 100 (as given).

The probability \( P \) of selecting a vowel on the first draw is given by the formula:

\[
P(\text{selecting a vowel}) = \frac{\text{Number of vowel tiles}}{\text{Total number of tiles}} = \frac{42}{100}
\]

This can be simplified:

\[
P(\text{selecting a vowel}) = \frac{42}{100} = \frac{21}{50}
\]

Now, from the options provided, the correct answer is:

**21/50**