SOLUTION: Among students 70% own a car, 50% own a bike and 40% own both. (a) Find a probability that a randomly chosen student own a least one of the above vehicles. (b) What is a

Algebra ->  Probability-and-statistics -> SOLUTION: Among students 70% own a car, 50% own a bike and 40% own both. (a) Find a probability that a randomly chosen student own a least one of the above vehicles. (b) What is a      Log On


   



Question 507360: Among students 70% own a car, 50% own a bike and 40% own both.

(a) Find a probability that a randomly chosen student own a least one of the above vehicles.

(b) What is a probability that a randomly chosen student does not own a bike?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Among students 70% own a car, 50% own a bike and 40% own both.
(a) Find a probability that a randomly chosen student owns at least one of the above vehicles.
P(car) = 0.7 ; P(bike) = 0.5 ; p(car and bike) = 0.4
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P(car OR bike) = 0.7 + 0.5 - 0.4 = 0.8
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(b) What is a probability that a randomly chosen student does not own a bike?
P(not bike) = 0.5
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Cheers,
Stan H.