you mix the letters S,E,M,I,T,R,O,P,I,C,A and L throughly. without looking you draw, one letter, find the probability that you were select a vowel write your answer as a fraction in simplest form.

There are 11 letters in total. Out of those, 4 are vowels (E, I, O, A) and 7 are consonants (S, M, T, R, P, C, L).

So the probability of selecting a vowel is:

4/11

Therefore, the answer is 4/11.

To solve this, we need to first determine the number of vowels in the set of letters. The vowels in this set are "E", "I", "O", and "A".

Step 1: Determine the number of vowels in the set.
The letters "E", "I", "O", and "A" are the vowels.
Therefore, the number of vowels in the set is 4.

Step 2: Calculate the probability of selecting a vowel.
The total number of letters in the set is 15 (S, E, M, I, T, R, O, P, I, C, A, and L).
The probability of selecting a vowel is the number of vowels divided by the total number of letters: 4/15.

Step 3: Simplify the fraction.
The fraction 4/15 is already simplified.

Therefore, the probability of selecting a vowel when drawing one letter from the set is 4/15.

To find the probability of selecting a vowel from the set of letters S,E,M,I,T,R,O,P,I,C,A and L, we need to determine the number of vowels in the set and the total number of letters in the set.

First, let's identify the vowels in the set: E, I, O, and A. There are four vowels.

Next, let's count the total number of letters in the set. Counting each letter once, we have 11 letters in total.

So, the probability of selecting a vowel can be calculated as (number of favorable outcomes) / (total number of possible outcomes).

In this case, the number of favorable outcomes is the number of vowels, which is 4, and the total number of possible outcomes is the total number of letters, which is 11.

Therefore, the probability of selecting a vowel is 4/11.