# pr.probability – probability of fuel filling

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:

1. all fuel points are at rest
2. all diesel refueling points are occupied
3. all the filling points of gasoline are occupied
4. all filling points are occupied