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You May Wish to Use Randomly Selected Digits Efficiently to Simulate

Question 35

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You may wish to use randomly selected digits efficiently to simulate this experiment.
Experiment: Draw a ball from a bag that has 11 black balls (B), 5 red balls (R), and 4 green balls (G), and note its color.
A) Tell what your code would be if you use two-digit numbers. Use an efficient code, omitting as few numbers as you can.
00 01 02 03 …………………………………………………… 97 98 99
B) Use the following from our table of randomly selected digits to simulate the experiment above 15 times efficiently.
11517 87601 71480 49210 81314 84069 64343 65909 23870 10394 8854 96029
C) What is the theoretical probability of getting a green ball?
D) What is the probability of getting a green ball from your simulation in part B?
E) Explain the difference between the answer in part C and the answer in part D.

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