Question

All eleven letters from the word MATHEMATICS are written on individual slips of paper and placed in a hat. If you reach into the hat and randomly choose one slip of paper, what are the odds against the paper having a vowel written on it?

Answer 1

Let:

A = Get a paper having a vowel written on it

N = Total number of letters = 11

a = Number of vowels = 4

so:

`\begin{gathered} P(A)=(a)/(N) \\ P(A)=(4)/(11) \\ P(A)\approx0.36 \end{gathered}`

Answer:

36%