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Dr. Pepper-
I don’t really know the calculation involved, but using this post of yours:
http://www.theyeshivaworld.com/coffeeroom/topic/the-riddle-thread/page/32#post-153407
…and this explanation of nCr (which I think helped me understand it):
http://www.xtremevbtalk.com/showthread.php?t=112460
I’ll try this:
(8 nCr 3) * ((1/12)^3) * ((11/12)^5)
=
56 * 0.0005787037037037037037037037037037 * 0.64722784850823045267489711934156
=
0.020974976572025986892242036249453
or about a 2% possibility
(fractions derived using the Windows calculator)
Now, here’s homework for the teacher:
1) If the answer is correct but clumsily done, please show the correct way of doing it.
2) If the answer is incorrect, please show where the mistake(s) lie(s).