The letters in the word MATHEMATICS are arranged randomly. Write your answers in decimal form. Round to the nearest thousandth as needed.

Question

What is the probability that the first letter is E?

What is the probability that the first letter is M?

What is the probability that the first letter is a vowel?

What is the probability that the first letter is W?

Answer 1

All of the problems will only be using the 1st slot in the 11-word: MATHEMATICS.

P(1st letter is E) = 1/11 There is only 1 E.

P(1st letter is M) = 2/11 There are 2 M's.

P(1st letter is a vowel) = 4/11 There are 4 letters (2 A's, 1 E, and 1 I).

P(1st letter is W) = 0 There are no W's in that word.