The probability that a city bus is ready for service when needed is 76%. The probability that a city bus is ready for service and has a working radio is 59%. Find the probability that a bus chosen at random has a working radio given that is is ready for service. Round to the nearest tenth of a percent. (1 point) Responses 58.1% 58.1% 17.0% 17.0% 79.8% 79.8% 77.6%

1 answer

The probability that a bus is ready for service and has a working radio is 59%.

The probability that a bus is ready for service is 76%.

To find the probability that a bus has a working radio given that it is ready for service, we use the formula for conditional probability:

P(working radio | ready for service) = P(working radio and ready for service) / P(ready for service)

P(working radio | ready for service) = 0.59 / 0.76 = 0.7763

Rounded to the nearest tenth of a percent, the probability that a bus chosen at random has a working radio given that it is ready for service is 77.6%.

Therefore, the correct response is 77.6%.