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2007 Harvard-MIT Mathematics Tournament
17
17
Part of
2007 Harvard-MIT Mathematics Tournament
Problems
(1)
2007 Guts #17: Redskins Wins and Losses
Source:
6/22/2012
During the regular season, Washington Redskins achieve a record of
10
10
10
wins and
6
6
6
losses. Compute the probability that their wins came in three streaks of consecutive wins, assuming that all possible arrangements of wins and losses are equally likely. (For example, the record
L
L
W
W
W
W
W
L
W
W
L
W
W
W
L
L
LLWWWWWLWWLWWWLL
LL
WWWWW
L
WW
L
WWW
LL
contains three winning streaks, while
W
W
W
W
W
W
W
L
L
L
L
L
L
W
W
W
WWWWWWWLLLLLLWWW
WWWWWWW
LLLLLL
WWW
has just two.)
probability