Each letter of the word EDUCATION is written on a separate card, and the nine cards are mixed. One card is drawn at random. What is the probability that the letter on it is a consonant?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\frac{4}{9}\)
The vowels are A, E, I, O, U; every other letter is a consonant. Each of the 9 cards is equally likely to be drawn.
Letters: E, D, U, C, A, T, I, O, N, that is, 9 cards
Vowels: E, U, A, I, O, that is, 5 cards
Consonants: D, C, T, N, that is, 4 cards
Probability \(\displaystyle =\frac{4}{9}\)