Question

Each letter of the word “Mathematical” is written on a separate piece of paper and put into a bag. You are asked to pick a random letter from that bag without looking. What is the probability that you pick a vowel?

Answer 1

total word = 12
tatal vowel in this word = 5
probability that u pick a voeel = 5/ 12
........

Answer 2

In the word "mathematical", total number of letter is 12.

Now, we separate each letters into piece of papers and put them into a bag. Then, we asked to choose a paper from the bag without replacement procedure and we have to find the probability of picking a vowel from the piece of papers.

Total number of vowels in the word "mathematical" is = 5 [ 3 a's, 1 i, 1 e in the word]

So, from the classical definition of probability, we can get,

p(picking a vowel) =$\frac{total number of vowels in the word}{total number of letters in the word}$

                             = 5/12 (answer.)