Math Problem Statement
Solution
The table shows the probabilities of selecting a vowel (A, E, I, O, U) from a page in a book. To find the probability that a random letter is not a vowel, we first need to sum the probabilities for all the vowels and subtract that total from 100%.
The given probabilities for the vowels are:
- A: 11%
- E: 21%
- I: 12%
- O: 6%
- U: 3%
Let's calculate the total probability of selecting a vowel:
Now, subtract this from 100% to find the probability of selecting a letter that is not a vowel:
So, the probability that a random letter is not a vowel is 47%.
Would you like more details or have any questions about this solution?
Related questions:
- How is probability related to percentages?
- If the probability of selecting a vowel changed, how would that affect the result?
- Can you explain the difference between mutually exclusive and independent events in probability?
- What is the probability that a letter is a vowel or a consonant in this case?
- How do you calculate probabilities in a scenario with more than two outcomes?
Tip:
Always double-check that the sum of all probabilities equals 100%, as this ensures all possible outcomes are accounted for.
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Math Problem Analysis
Mathematical Concepts
Probability
Complementary Probability
Percentages
Formulas
P(not a vowel) = 100% - P(vowel)
P(vowel) = P(A) + P(E) + P(I) + P(O) + P(U)
Theorems
Complementary Probability Theorem
Suitable Grade Level
Grades 6-8