SOLUTION: The probability that a city bus is ready for service when needed is 83%. The probability that a city bus is ready for service and has a working radio is 68%. Find the probability t

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Question 302606: The probability that a city bus is ready for service when needed is 83%. The probability that a city bus is ready for service and has a working radio is 68%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent.
Answer by stanbon(57377) (Show Source):
You can put this solution on YOUR website!
The probability that a city bus is ready for service when needed is 83%.
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P(ready) = 0.83
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The probability that a city bus is ready for service and has a working radio is 68%.
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P(ready and radio) = 0.68
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Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent.
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P(radio|ready) = P(radio and ready)/P(ready) = 0.68/0.83 = 0.82
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Cheers,
Stan H.