I'm trying to solve the probability question below;
gas station has $ 5 $ filling points $ 3 $ are used to fill gasoline and remaining $ 2 $ are used to fill the diesel for different types of vehicles.It has been noticed that a $ 3 $ minutes to refuel in any vehicle (diesel / gasoline). The number of gasoline vehicles entering the service station within the estimated time is: $ 24 $ and the diesel vehicle estimated at 36 in the hour.
want to find below the probabilities:
- all fuel points are at rest
- all diesel refueling points are occupied
- all the filling points of gasoline are occupied
- all filling points are occupied