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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​


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 175 B 15 C 115 D 160 class=

Sagot :

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]

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