The probability that a city bus is ready for service when needed is 77%. The probability that a city bus is ready for service and has a working radio is 65%. 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. (Hint: Divide)

Question

Mathematics

Madilynn Cook

12 February, 16:16

The probability that a city bus is ready for service when needed is 77%. The probability that a city bus is ready for service and has a working radio is 65%. 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. (Hint: Divide)

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Answers (1)

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Brody Casey · Answer 1

0.84

Step-by-step explanation:

Let the probability that a city bus is ready for service when needed is represented as P (ready) = 77%=0.77

Let the probability that a city bus is ready for service and has a working radio be represented as P (ready and radio) = 65%=0.65

probabilty that it has a working radio given that it is ready for service =

P (radio and ready) = P (ready and radio) : P (ready)

=0.65:0.77=0.84416

≈0.84 to the nearest tenth