Multiple Choice
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 that you select a vowel. Write your answer as a fraction in simplest form.
A. twelve-fifths
B. Start fraction 5 over 12 End fraction
C. start fraction 1 over 3 end fraction
D. start fraction 7 over 12 end fraction.
There are 12 letters in total, and 5 of them are vowels (E, I, O, A, and U). Therefore, the probability of selecting a vowel is 5/12. The answer is B.
To find the probability of selecting a vowel, we need to determine the number of vowels in the list of letters.
Among the letters S, E, M, I, T, R, O, P, I, C, A, and L, we can identify the following vowels: E, I, O, and A.
There are a total of four vowels in the list of twelve letters.
Thus, the probability of selecting a vowel is 4 out of 12.
To simplify this fraction, we divide the numerator and denominator by their greatest common divisor, which is 4.
4 ÷ 4 = 1
12 ÷ 4 = 3
Therefore, the simplified fraction is 1/3.
The correct answer is C. start fraction 1 over 3 end fraction.