2002 AIME II Problems/Problem 12
Revision as of 02:06, 16 December 2008 by Talkinaway (talk | contribs) (changed a10 < .4 to a10 = .4, making the problem actually solvable!)
Problem
A basketball player has a constant probability of of making any given shot, independent of previous shots. Let
be the ratio of shots made to shots attempted after
shots. The probability that
and
for all
such that
is given to be
where
,
,
, and
are primes, and
,
, and
are positive integers. Find
.
Solution
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See also
2002 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |