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The letters N, T, and O are arranged in a random order. What is the probability that the arrangement spells a three-letter word.

Express your answer as a simplified fraction.

2 Answers

4 votes

Answer:

probability of getting I letter word =1/3

User Simon Nickerson
by
7.8k points
4 votes

Answer:

  • 1/3

Explanation:

Three letters can be arranged in:

  • 3! = 6 ways

We can spell two words from using the letters N, T, O:

  • "Not" and "Ton"

So there are 2 favorable outcomes out of 6 total outcomes:

  • P(3-letter word) = 2/6 = 1/3
User Cedric Zoppolo
by
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