Question↷
The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. 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. Show your work
Answer↷
79.76%
Solution↷
- The probability that a city bus is ready for service when needed ⇢ 84% = 0.84
- The probability that a city bus is ready for service and has a working radio ⇢ 67% = 0.67
- the probability that a bus chosen at random has a working radio given that it is ready for service⇢ 0.84/0.67 = 0.79 = 79.76 %