[VA] Short & Sweet Math Challenge #25 "San Valentin's Special: Weird Math"

[ramon_ea1gth]

I tried the weird limit in my physical HP 50g in User-RPL, reaching 100,000 iterations. When I saw the outcome going to e, some kind of law of large numbers came to my mind.

Input stack:
2: number of tests, CNT
1: limit to exceed, XCD (e.g., 1, pi)

My code:
« 0 → CNT XCD TOT
« 1 RDZ
1 CNT FOR I
RAND 1 → TMP NR
« DO RAND 'TMP' STO+ 1 'NR' STO+
UNTIL TMP XCD >
END
NR 'TOT' STO+
»
NEXT
TOT CNT /
»
»