SOLUTION: Is it B? I want to check my answer. What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown? A. Drawing A, E, or O B.

Algebra ->  Probability-and-statistics -> SOLUTION: Is it B? I want to check my answer. What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown? A. Drawing A, E, or O B.      Log On


   

Question 1161034: Is it B? I want to check my answer.
What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown?
A. Drawing A, E, or O
B. Drawing B, C, L, M, N, R, T, or Z
C. Drawing a BLANK tile
D. Drawing a D, F, G, H, I, J, K, P, or Q

The question is provided in the link here: https://i.imgur.com/qSeVRx6.png
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

yes, the correct answer is B. Drawing B, C, L, M, N, R, T, or Z
Explanation:
Let us first define complement first.
The complement of an event is the opposite of it. For example in this case, the complement of drawing a vowel will be notdrawing a vowel.
So, let S+ be the set of alphabets present on scrabble tiles.
S=A,B,C,E,E,E,L,M,N,O,R,T,Z
Drawing a vowel will constitute:
+A, E,E,E,+O+
So, the complement (not drawing a vowel) will be:
+B,C, L,M,N,+R,T,Z
So drawing any of the consonant from the consonants present on scrabble tiles will be the complement of drawing a vowel.