SOLUTION: A bag has A bag has 14 red marbles and 4 brown marbles. Half of the brown marbles are made of plastic. A marble is selected at random from the bag. What is the probability th

Algebra ->  Probability-and-statistics -> SOLUTION: A bag has A bag has 14 red marbles and 4 brown marbles. Half of the brown marbles are made of plastic. A marble is selected at random from the bag. What is the probability th      Log On


   

Question 1104145: A bag has

A bag has 14 red marbles and 4 brown marbles. Half of the brown marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a brown, plastic marble?
Write your answer as a fraction in simplest form.
Answer by KMST(5328) About Me  (Show Source):
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IN NUMBERS:
%22%28+1+%2F+2+%29%22%2A4%2F%2814%2B4%29%22=%222%2F18%22=%22highlight%281%2F9%29

EXPLANATION:
The half of the 4 brown marbles that are made of plastic is
%281%2F2%29%2A4=2 brown, plastic marbles.
If there are only 14 red marbles and 4 brown marbles in the bag,
the bag contains a total of
14%2B4=18 marbles.
As a fraction of all the marbles in the bag,
the brown, plastic marbles are 2 out of 18 .
That is
2%2F18%22=%222%2A1%2F%282%2A9%29%22=%22%282%2F2%29%2A%281%2F9%29%22=%221%2A%281%2F9%29%22=%221%2F9 ,
and that is the probability that
a marble randomly selected from the bag is a brown, plastic marble.