Each letter of the word MATHEMATICS is written on a separate card, and the eleven cards are mixed. One card is drawn at random. What is the probability that the letter on it is a vowel?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\frac{4}{11}\)
The vowels are A, E, I, O, U. Each of the 11 cards is equally likely to be drawn, so a repeated letter is counted once for every card that carries it.
Letters: M, A, T, H, E, M, A, T, I, C, S, that is, 11 cards
Vowels: A, E, A, I, that is, 4 cards (A appears twice)
Probability \(\displaystyle =\frac{4}{11}\)