If you randomly select a letter from the phrase "I danced nearly every dance at the last practice party," what is the probability that you select a vowel?
Write your answer as a simplified fraction.

To find the probability of selecting a vowel from the phrase "I danced nearly every dance at the last practice party," we need to:

1. Identify the total number of letters in the phrase.
2. Count how many of those letters are vowels (A, E, I, O, U).
3. Calculate the probability as the ratio of vowels to the total number of letters.

### Step 1: Count the total number of letters.
First, we remove spaces and punctuation to focus on just the letters:

"I danced nearly every dance at the last practice party" (excluding spaces) has 46 letters.

### Step 2: Count the vowels.
The vowels in the phrase are A, E, I, O, U. We count the number of times each vowel appears:

- A appears 7 times.
- E appears 9 times.
- I appears 3 times.
- O appears 0 times.
- U appears 0 times.

Total number of vowels = \( 7 + 9 + 3 = 19 \).

### Step 3: Calculate the probability.
The probability of selecting a vowel is the ratio of the number of vowels to the total number of letters. Therefore, the probability is:

\[
\text{Probability} = \frac{\text{Number of vowels}}{\text{Total number of letters}} = \frac{19}{46}
\]

This fraction is already in its simplest form, so the probability of selecting a vowel is:

\[
\frac{19}{46}
\]

Would you like more details on this solution or further clarification?

---

Here are 5 related questions you can explore:

1. What is the probability of selecting a consonant from the same phrase?
2. How would the probability change if the phrase were shorter?
3. What is the total number of non-vowel characters in the phrase?
4. If you added punctuation, how would that affect the calculation?
5. How would the probability change if only uppercase letters were used?

**Tip:** Always simplify fractions when possible to get the most reduced form of your answer.

If you randomly select a letter from the phrase 'I danced nearly every dance at the last practice party,' what is the probability that you select a vowel? Write your answer as a simplified fraction.

Learn how to find the probability of randomly selecting a vowel from the phrase 'I danced nearly every dance at the last practice party.' This problem involves counting the number of vowels and using the probability formula, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation