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rjkz [21]
3 years ago
11

In a survey of a town, 56% of residents own a car, 21% of residents now a truck, and 4% of residents own both a car and a truck.

What is the conditional probability that a person also owns a truck, given that they own car? Round to the nearest whole percent.
Mathematics
2 answers:
babunello [35]3 years ago
8 0
4.6 rounded to whole number would be 5%
Iteru [2.4K]3 years ago
5 0

Answer:

P(A given B)=0.190

Step-by-step explanation:

It is given that In a survey of a town, 56% of residents own a car, that is P(A)=0.56

21% of residents now a truck, that is P(B)=0.21

and 4% of residents own both a car and a truck that is P(A∩B)=0.04

Now, the conditional probability that a person also owns a truck, given that they own car is:

P(A given B)=\frac{P(A{\cap}B)}{P(B)}

P(A given B)=\frac{0.04}{0.21}

P(A given B)=0.190

Thus, the conditional probability that a person also owns a truck, given that they own car is 0.190.

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