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At an auto dealership, 8 new cars of different colors are randomly lined up in front of the building. What is the probability that the first car is red, the second car is blue, and the third car is black?
asked
Feb 2, 2019
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At an auto dealership, 8 new cars of different colors are randomly lined up in front of the building. What is the probability that the first car is red, the second car is blue, and the third car is black?
Mathematics
high-school
Slatvick
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Slatvick
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1
Answer
7
votes
Hey Dftackle,
Lets solve your problem
step by step.
To solve the problem we have analyze the question carefully
.
As we are aware: A
t an auto dealership, 8 new cars of different colors are randomly lined up in front of the building.
Therefore, lets use a variable "c" to represent the
different colors of cars as they are randomly lined up in front of the
auto dealership.
We know that there are 8 new cars, so
can represent this statement.
Now lets
examine
the next line.
We have to find
the
probability
of the first car being
red,
the second car being
blue
, and the third car being
black
.
Since we are only given three cars, our
fraction changes to
:
.
As a result, the probability of the
first car being red
, the
second car being blue
, and the
third car being
black
is
because we do not know any more information about the
remaining cars
.
Hope this helps,
AnthrαX
MKod
answered
Feb 7, 2019
by
MKod
8.6k
points
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