Math Problem Statement
The table below shows the probability that a random letter on a page in a book is a vowel (A, E, I, O, or U). What is the probability that a random letter is not a vowel? Give your answer as a percentage (%).
Solution
To calculate the probability that a random letter is not a vowel, we first sum up the probabilities of all vowels provided in the table and then subtract that sum from 100%.
Step 1: Sum up the probabilities of vowels
- Probability of A:
- Probability of E:
- Probability of I:
- Probability of O:
- Probability of U:
Step 2: Calculate the probability of not a vowel
The probability of not being a vowel is the complement of being a vowel:
Final Answer:
The probability that a random letter is not a vowel is 44%.
Let me know if you need further clarification!
Here are 5 related questions for further practice:
- What is the probability of randomly selecting a letter that is either A or E?
- If the probabilities represent a single page, what is the chance of randomly picking a consonant on two consecutive pages?
- How would the total probability change if the probability of E was reduced to 20%?
- If the probabilities are based on a book with 10,000 letters, how many are expected to be vowels?
- How do these probabilities relate to general frequency distributions of vowels in English text?
Tip: When working with probabilities, always ensure that the total probabilities sum to 100% to verify the accuracy of your data!
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Math Problem Analysis
Mathematical Concepts
Probability
Complement Rule
Formulas
P(Not A) = 1 - P(A)
Sum of Probabilities of Events
Theorems
Complement Rule
Suitable Grade Level
Grades 6-8