There are 26 letters and 5 vowels so 5/26.
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You have a total of 11 letters in "mathematics" and you have 4 vowels (a,e,a,i) so the probability of drawing a vowel is 4/11. In other words if you were to consider the vowel's to be 1's and the consonants 2's. What is the probability of drawing a "1". There would be 4 1's and 7 2's. It would be 4/11
Probability is given as Desired Outcomes divided by total number of outcomes. For the probability of picking a vowel, desired outcomes are : a,e,i,o,u (5) Total no. of outcomes is the entire alphabet set from a to z (26) Hence, the required probabilty is 5/26
The answer depends onthe alphabet that you chose,whether or not you consider y to be a vowel,whether or not each letter is equally likely to be chosen (eg not from a bag of scrabble tiles), andwhether or not the choice was random.If a choice was random, from equal numbers of letters from the modern Roman alphabet and y is not considered a vowel then the answer is 5/26.
Think, if there are A, E, I, O, U, and couting Y, there are 6 vowels. there are 26 letters. So the answer is 6 over 26 and then you simplify it to 3 over 13.
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