Mathematica Solving Math Algorithm Problem with rand(1,1) Function

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To create an algorithm that randomly selects between A, B, and C using the function rand(1,1), which generates numbers from 0 to 9, a proposed method involves assigning A to the range 1-3, B to 4-6, and C to 7-9. A potential issue arises with the function returning a 0, which does not correspond to any of the categories. A suggested solution is to implement a statement that prompts the generator to produce another number if a 0 is returned. This approach maintains the randomness of the selection, as the distribution of outcomes remains balanced. The expected probabilities indicate that A, B, and C would each be selected approximately one-third of the time, with the possibility of re-rolling for a 0 ensuring fairness in the random selection process.
sapiental
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Hello

I have to write an algorithm that randomly chooses between A B and C.

I have to use the function (rand(1,1) which gives me a radndom number from the following (0,1,2,3,4,5,6,7,8,9)..

I was thinking of assigning A = 1:3 B = 4:6 C = 7:9

But I run into the problem of the random function giving me a 0.
Could I just write a statement saying that if I get a 0 from the random number generator, to generate anohter number? Would this still remain truly random using the function rand(1,1)?

Any help or suggestions are much appreciated. Thank you!
 
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That should be fine. Unless rand completely sucks ass, there should always be an essentially even chance of getting any of those numbers. Since you'll get an A 3/10 of the time, B 3/10 of the time, and C 3/10 of the time, and pick again 1/10 of the time, you get A 1/3, B 1/3, and C 1/3 of the time
 

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