Question

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)

Answer 1

0.84

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