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Probability and Statistics
Number of rolls to enter x checkers from bar
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Where can I find a table showing average number of rolls needed to enter x
checkers from the bar with y open points?
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Havard Raddum writes:
Expected number of rolls to enter x checkers against y-point board:
y: 5-point 4-point 3-point 2-point 1-point 0-point
x: board board board board board board
---------- ------- ------- ------- ------- ------- -------
1 checker 3.273 1.800 1.333 1.125 1.029 1.000
2 checkers 6.248 3.240 2.222 1.688 1.322 1.000
3 checkers 8.953 4.572 3.111 2.391 1.994 1.833
4 checkers 11.411 5.782 3.901 2.953 2.354 1.833
5 checkers 13.944 7.063 4.774 3.639 2.988 2.694
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Probability and Statistics
- Average game and match length (JP White, Dec 2000)
- Average luck of each roll (Timothy Chow+, Mar 2013)
- Average luck of each roll (Jørn Thyssen+, Feb 2004)
- Calculating winning chances (Douglas Zare, June 2000)
- Chance of rolling x doubles in y rolls (Raccoon+, July 2007)
- Chance of rolling x or more pips in y rolls (Tom Keith, Feb 2004)
- Clumping of random numbers (Gary Wong, Sept 1998)
- Counting shots (Koyunbaba+, June 2007)
- Counting shots (John Little+, Mar 2007)
- Distribution of points per game (Roland Sutter, June 1999)
- Distribution of points per game (Stig Eide+, Sept 1995)
- Expected variation in points after a series of games (Achim Müller+, Feb 1999)
- How many games to decide who's better? (Stephen Turner, Mar 1997)
- How often is too often? (Gary Wong, Oct 1998)
- Losing after bearing off 14 checkers (Daniel Murphy, July 1999)
- Number of games per match (Jason Lee+, Jan 2005)
- Number of rolls to enter x checkers from bar (Michael Depreli+, Mar 2011)
- Visualizing odds (Daithi, Mar 2011)
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