We have to express the probabilities as unreduced fractions.
The probability of choosing a person who has a Ford and has no complaints.
We can calculate the probability as the qoutient between the successful events and the total events.
The successful events are the persons that have a Ford and has no complaints. This number is 60.
The total number of persons we can choose from is 500.
Then, the probability is 60/500.
It can be reduced as:
[tex]P=\frac{60}{500}=\frac{\frac{60}{10}}{\frac{500}{10}}=\frac{6}{50}=\frac{\frac{6}{2}}{\frac{50}{2}}=\frac{3}{25}[/tex]
The probability of choosing a person who has a Ford or has No complaints.
In this case the number of successful events is the sum of the people that has a Ford (95 persons) and the people that has no complaints (178 persons).
Then, the probability is:
[tex]P=\frac{178+95}{500}=\frac{273}{500}[/tex]
The probability of choosing a person who does not have a Ford.
The successful events in this case is the total (500) minus the people that have a Ford (95).
Then, the probability is:
[tex]P=\frac{500-95}{500}=\frac{405}{500}=\frac{\frac{405}{5}}{\frac{500}{5}}=\frac{81}{100}[/tex]
Answer:
a) P = 3/25
b) P = 273/500
c) P = 81/500
