In a certain town, 80% of the residents own a car, and 30% of the car owners also own a motorcycle. If a resident is randomly selected, what is the probability that the selected person owns a car and a motorcycle?(Keep two decimal places)
Question
In a certain town, 80% of the residents own a car, and 30% of the car owners also own a motorcycle. If a resident is randomly selected, what is the probability that the selected person owns a car and a motorcycle?(Keep two decimal places)
Solution
To find the probability that a randomly selected resident owns both a car and a motorcycle, you multiply the probability that they own a car by the probability that they also own a motorcycle (given that they own a car).
The probability that a resident owns a car is 80%, or 0.80.
The probability that a car owner also owns a motorcycle is 30%, or 0.30.
So, the probability that a randomly selected resident owns both a car and a motorcycle is 0.80 * 0.30 = 0.24, or 24%.
So, the answer is 0.24.
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