The letters of the word MAHARASHTRA are written on identical cards, one letter per card, and one card is drawn at random. What is the probability that the letter on it is a consonant?

MAHARASHTRA has 11 letters. The vowels are the four As, so the consonants M, H, R, S, H, T, R number 7. $P=\frac{7}{11}.\frac{4}{11}$ answers for a vowel; $\frac{5}{11}$ counts only the five DIFFERENT consonants M, H, R, S, T, but repeated letters are separate cards; $\frac{1}{2}$ assumes an even split.