Multiple choice

Two letters from the word 'TERMINATOR' are selected at random. Find the probability that both are vowels.

  1. 1/5

  2. 2/15

  3. 4/15

  4. 7/15
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B Correct answer
Explanation

The word 'TERMINATOR' has 10 letters in total, of which 4 are vowels (E, I, A, and O). The number of ways to choose any 2 letters from 10 is 10C2 = 45, and the number of ways to choose 2 vowels from the 4 available is 4C2 = 6. Thus, the probability that both selected letters are vowels is 6/45, which simplifies to 2/15.

AI explanation

The word TERMINATOR has 10 letters, containing 4 vowels (E, I, A, O) and 6 consonants. The number of ways to select 2 vowels is 4C2, which equals 6. The total ways to select any 2 letters from the 10 letters is 10C2, which equals 45. The probability is 6 divided by 45, which simplifies to 2/15.

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