Question:
The balls are mixed and a ball is drawn at random. What is the probability of drawing a ball that has a B on it?
A. 1/75
B. 1/5
C. 1/15
D. 1/60
Answer:
B. 1/5
Solution:
There are 15 balls marked with a B as shown below,
B1, B2, B3, B4, ... , B14, B15
There are 75 total balls.
Hence, probability of drawing a ball that has a B on it is,
[tex]\sf P(B) = \frac{FO}{TO}\\\\\sf where\\ \sf FO = Favored \;Outcome = \;15 \;(15 \;B \;balls)\\ \sf TO = Total \;Outcome = 75 \;(75 \;total \;balls)\\\\\sf P(B) = \frac{FO}{TO}\\\\\sf P(B) = \frac{15}{75}\\\\\sf P(B) = \frac{1}{15}\\\\[/tex]
