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A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get
Question
A car wash has three different types of washes: basic, classic, and ultimate. Based on records, 45% of customers get the basic wash, 35% get the classic wash, and 20% get the ultimate wash. Some customers also vacuum out their cars after the wash. The car wash records show that 10% of customers who get the basic wash, 25% of customers who get the classic wash, and 60% of customers who get the ultimate wash also vacuum their cars. What is the probability that a randomly selected customer will get the classic wash and vacuum their car?
A) 0.05
B) 0.09
C) 0.12
D) 0.25
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Mathematics
5 years
2021-08-03T14:25:14+00:00
2021-08-03T14:25:14+00:00 2 Answers
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Answers ( )
to find the probability we need to use the conditional probability formula.
P(A/B)=P(A ? B )/P(B)
this is the probability that A happens after B has happened.
In this case we need to defined:
A=Vacuum
B=classic wash
Then: A ? B =
classic wash and vacuum
once we defined the events , we have to find their probabilities:
P(B)=.35
P(A ? B) =.25
Therefore:
the answer is B
you need only to multiply 0.35 by 0.25
and round to hundreths
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Answer:
.09
Step-by-step explanation: