Question
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d. Twenty-six cards with the letters from
A to are face down. What is the
probability that a vowel will be
chosen?

Ask by Gough Brooks. in the United States
Mar 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability of choosing a vowel is .

Solution

  1. Identify the vowels in the English alphabet. The vowels are , , , , and . Thus, there are vowels.
  2. There are cards in total, each with a different letter from to .
  3. The probability of choosing a vowel is given by

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Bonus Knowledge

In the English alphabet, there are five vowels: A, E, I, O, and U. Since there are a total of 26 letters, the probability of randomly picking a vowel from this set of letters can be calculated by dividing the number of favorable outcomes (the vowels) by the total number of outcomes (all letters). So, the probability of selecting a vowel is given by:
That’s approximately 0.1923 or 19.23%! So next time you choose from the alphabet, you’ve got a nearly one in five chance of picking a vowel, how lucky is that?
In practical terms, this concept helps in areas like word games or language learning. If you’re playing Scrabble and you need a vowel to create a new word, knowing the probability can give you an edge—perhaps it’s time to focus your strategy on those commonly used vowels!

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