Answer to Question #68677 in Statistics and Probability for Kenny

Question

Two petrol stations are located in a street at Victoria island, each of the petrol stations has 5 pumps, an experiment was carry out to determine the number of pumps in use at a particular time of the day at each of the petrol stations, assume an experimental outcome is (x,y), where x specified the number of pumps in use at the 1st station and y the number of pumps in use at the second station. How many of such outcome will you have in this experiment?

Answer 1

The number of pumps in use at the station with 5 pumps can be 0, 1, 2, 3, 4, or 5, so we have 6 outcomes in total. We have 6 outcomes for the 1st station, and independently 6 outcomes for the 2nd station. Hence, by the multiplication principle of combinatorics there are 6*6=36 outcomes possible for the experiment.
Answer: 36