Question

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.

Answer 1

probability of getting I letter word =1/3

Answer 2

• 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