you mix the letters S E M I T R O P I C A and L thoroughly. without looking you draw one letter. find the probability you select a vowel. write your answer as a fraction and in the simplest form.
There are a total of 12 letters in the mix.
Out of these, there are 5 vowels (A, E, I, O, U) and 7 consonants.
Therefore, the probability of selecting a vowel = 5/12.
So, the answer is 5/12 in the simplest form.
To solve this problem, we need to determine the number of vowels and the total number of letters in the given set.
The set of letters is: S E M I T R O P I C A L
There are 13 letters in total. Now we need to count the number of vowels which are A, E, I, O, U.
Hence, there are 5 vowels in the set.
Now, the probability of selecting a vowel can be calculated as follows:
Probability = Number of favorable outcomes / Total number of possible outcomes
Number of favorable outcomes = Number of vowels = 5
Total number of possible outcomes = Total number of letters = 13
Therefore, the probability of selecting a vowel is 5/13.