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, U). What is the probability that a random letter is not a vowel? Give your answer as a percentage (%).

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:

Total vowel probability=11%+21%+12%+6%+3%=53%\text{Total vowel probability} = 11\% + 21\% + 12\% + 6\% + 3\% = 53\%

Now, subtract this from 100% to find the probability of selecting a letter that is not a vowel:

Probability not a vowel=100%53%=47%\text{Probability not a vowel} = 100\% - 53\% = 47\%

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:

  1. How is probability related to percentages?
  2. If the probability of selecting a vowel changed, how would that affect the result?
  3. Can you explain the difference between mutually exclusive and independent events in probability?
  4. What is the probability that a letter is a vowel or a consonant in this case?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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