If you randomly select a letter from the phrase "I like to swim at the Recreation Pavilion," what is the probability that you select a consonant? (Your answer must be in the form of a reduced fraction.)


To find the probability that a randomly selected letter from the phrase "I like to swim at the Recreation Pavilion" is a consonant, we need to follow these steps:

### Step 1: Count the total number of letters.
We exclude spaces, as they are not considered letters. The phrase is:
"I like to swim at the Recreation Pavilion"
This phrase has 38 characters including spaces. Let's remove the spaces and count only the letters.

The letters are:
"IliketoswimattheRecreationPavilion"
So, there are 34 letters.

### Step 2: Identify and count the consonants.
The consonants are all the letters that are not vowels. The vowels are **A, E, I, O, U**.

Let's identify the consonants:
- From "I like to swim at the Recreation Pavilion," the consonants are:
  - l, k, t, s, w, m, t, t, h, R, c, r, t, n, P, v, l, n

There are 18 consonants.

### Step 3: Calculate the probability.
The probability is the ratio of the number of consonants to the total number of letters.

\[
\text{Probability} = \frac{\text{Number of consonants}}{\text{Total number of letters}} = \frac{18}{34}
\]

### Step 4: Reduce the fraction.
Both 18 and 34 are divisible by 2.

\[
\frac{18}{34} = \frac{9}{17}
\]

### Final Answer:
The probability of selecting a consonant is \( \frac{9}{17} \).

Would you like further details or have any questions? 

Here are some related questions you might find interesting:
1. What is the probability of selecting a vowel from the same phrase?
2. What is the probability of selecting the letter 't' from the phrase?
3. What is the probability of selecting a space instead of a letter?
4. What is the probability of selecting a capital letter from the phrase?
5. How many unique consonants are in the phrase?

**Tip:** Always simplify your fractions as a final step in probability calculations.

If you randomly select a letter from the phrase 'I like to swim at the Recreation Pavilion,' what is the probability that you select a consonant?

Explore the probability of selecting a consonant from the phrase 'I like to swim at the Recreation Pavilion.' This problem involves basic probability concepts, counting techniques, and fraction reduction. Suitable for students in Grades 6-8.

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