Posted by Denis Borris on October 20, 2002 at 16:13:44:
In Reply to: probability posted by Alison on October 20, 2002 at 10:12:08:
: In a throw of 12 dice,what is the probability of obtaining a sum of 35 ?
I'll be as brief as possible, yet try to be clear;
(hate typing!); there is:
1 way of getting 12: all 1's
1 way of getting 13: 11 1's and a 2
2 ways of getting 14: 11 1's and a 3, 10 1's and 2 2's
....
184 ways of getting 34
197 ways of getting 35**
212 ways of getting 36
....
252 ways of getting 42 (that's tops: so bet 42!!)
....
1 way of getting 72: all 6's
These "ways" total 6188.
So the probability of getting 35 is 197/6188.
I did printout all of them (12 to 72) but am too
lazy to type 'em all...