The letters of the work ''CHANCES'' are placed in a box and one letter is taken out. What is the probability of the following being the one taken out?
Consonants

Answer

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

### Step-by-Step Solution:

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

2. **Count the total number of letters:**
The total number of letters in "CHANCES" is 7.

3. **Identify and count the consonants:**
The consonants in the word are:
- C
- H
- N
- C
- S

So, the consonants are C, H, N, C, S. Counting these gives us 5 consonants.

4. **Identify the vowels:**
The vowels in the word are:
- A
- E

There are 2 vowels.

5. **Calculate the probability of drawing a consonant:**
The probability (P) of an event is given by the formula:
\[ P(\text{Consonant}) = \frac{\text{Number of favorable outcomes (consonants)}}{\text{Total number of outcomes (letters)}} \]
Substituting the values we found:
\[ P(\text{Consonant}) = \frac{5}{7} \]

### Final Answer:
The probability of drawing a consonant from the word "CHANCES" is \( \frac{5}{7} \).

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