MathDB
2007 Guts #17: Redskins Wins and Losses

Source:

June 22, 2012
probability

Problem Statement

During the regular season, Washington Redskins achieve a record of 1010 wins and 66 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 LLWWWWWLWWLWWWLLLLWWWWWLWWLWWWLL contains three winning streaks, while WWWWWWWLLLLLLWWWWWWWWWWLLLLLLWWW has just two.)