 |
Simulations
with the Research Randomizer |
|
Simulations
with the Research Randomizer |
While you are working on this project, it will probably be a good idea to have both the project and the Research Randomizer available at the same time. Click here to open a second browser window. Check out the Research randomizer and experiment with it. It might be worthwhile to view some of the tutorial modules.
Now consider the Montana duck hunter problem:
Montana duck hunters are all perfect shots. Ten Montana duck hunters are in a duck blind when 10 ducks fly over. All 10 hunters pick a duck at random to shoot at, and all ten hunters fire at the same time. How many ducks could be expected to escape, on average, if this experiment were repeated a large number of times?
It is quite easy to simulate this experiment a large number of times. We can represent the ten ducks by the digits 0-9, and randomly generate a set of 10 digits. The numbers that appear in the set correspond to the ducks that did not escape. We can count how many did escape and repeat the experiment many times. Suppose you would like to use the Research Randomizer to carry out this experiment 10 times. Fill out the form in the following way:
How many sets of numbers do you want to generate? ----- 10
How many numbers per set? ----- 10
Number range (e.g., 1-50): ----- From: 0 To:9
Do you wish each number in a set to remain unique? ----- No
Do you wish to sort your outputted numbers (form least to greatest)? ----- Yes
How do you wish to view your outputted numbers? ----- Place Markers Off
Try it and print the results. Based on your results, how many ducks could be expected to escape, on average?
