If you randomly select a letter from the phrase "Mario Kart on the Wii is fun," what is the probability that a vowel is randomly selected? Leave your answer as a reduced fraction.)

Let's solve the problem of finding the probability that a randomly selected letter from the phrase "Mario Kart on the Wii is fun" is a vowel.

### Step 1: Count the total number of letters.
The phrase is **"Mario Kart on the Wii is fun"**. Ignoring spaces, let's count the letters:

- "Mario" has 5 letters.
- "Kart" has 4 letters.
- "on" has 2 letters.
- "the" has 3 letters.
- "Wii" has 3 letters.
- "is" has 2 letters.
- "fun" has 3 letters.

Summing these:
\[
5 + 4 + 2 + 3 + 3 + 2 + 3 = 22 \text{ letters}
\]

### Step 2: Count the number of vowels.
The vowels are \(a, e, i, o, u\). Let's count the vowels in the phrase:

- In "Mario": a, i, o (3 vowels)
- In "Kart": a (1 vowel)
- In "on": o (1 vowel)
- In "the": e (1 vowel)
- In "Wii": i, i (2 vowels)
- In "is": i (1 vowel)
- In "fun": u (1 vowel)

Total number of vowels:
\[
3 + 1 + 1 + 1 + 2 + 1 + 1 = 10 \text{ vowels}
\]

### 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:
\[
\text{Probability} = \frac{\text{Number of vowels}}{\text{Total number of letters}} = \frac{10}{22}
\]

### Step 4: Reduce the fraction.
Simplifying \( \frac{10}{22} \) by dividing both the numerator and the denominator by 2:
\[
\frac{10}{22} = \frac{5}{11}
\]

Thus, the probability of randomly selecting a vowel is \( \frac{5}{11} \).

Would you like more details or have any further questions?

Here are 5 related questions:
1. What is the probability of randomly selecting a consonant?
2. What is the probability of selecting the letter "a"?
3. How would the probability change if we included spaces?
4. How does the probability change if we capitalize all letters?
5. What is the probability of selecting a vowel or the letter "r"?

**Tip:** To reduce fractions, always look for the greatest common divisor (GCD) of the numerator and denominator!

If you randomly select a letter from the phrase 'Mario Kart on the Wii is fun,' what is the probability that a vowel is randomly selected? Leave your answer as a reduced fraction.

Find the probability of randomly selecting a vowel from the phrase 'Mario Kart on the Wii is fun.' This problem involves calculating probability, counting letters, and reducing fractions, ideal 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