[VA] SRC #012a - Then and Now: Probability

[Valentin Albillo]

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Hi, C.Ret,

(10-08-2022 04:57 PM)C.Ret Wrote:  My program finds that on a triangle of R=5 rows, the probability that the man is on the last row after S=4 steps is P ~ 0.07961. Is this a correct value?

Well, in my OP I said:

"If desired, you can check the correctness of your code by running the simpler R = 5 rows, S = 4 steps case, which should return a probability P = 23/288"

As 23/288 evaluates to 0.079861... then yes, your result is correct, except that you omitted the 8, a simple typo.

Quote:EDIT:
I upgraded my code to avoid rounding errors as much as possible. Now I find P = 1656 / 20736 for R=5 and S=4 [...]

But 1656/20736 immediately simplifies to 23/288, which is the correct result, as stated in my OP. Why would you give your result as a fraction not reduced to its lowest terms ?

Thanks for your interest and regards.
V.