The letters of the word ''CHANCES'' are placed in a box and one letter is taken out. What is the probability of the following being the one taken out:
Vowel

Answer

To find the probability of drawing a vowel from the letters of the word "CHANCES", we can follow these steps:

### Step 1: Identify the letters in the word "CHANCES".
The letters in the word "CHANCES" are: C, H, A, N, C, E, S.

### Step 2: Count the total number of letters in the word.
The total number of letters in "CHANCES" is 7.

### Step 3: Identify and count the vowels in the word.
The vowels in the word "CHANCES" are A and E. Therefore, the total number of vowels is 2.

### Step 4: Use the probability formula.
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

### Step 5: Substitute the values into the formula.
In this case, the number of favorable outcomes (vowels) is 2, and the total number of outcomes (letters) is 7. So the probability of drawing a vowel is:
\[ \text{Probability of drawing a vowel} = \frac{2}{7} \]

### Final Answer:
The probability of drawing a vowel from the word "CHANCES" is \( \frac{2}{7} \).

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