I loved your video, thank you very much for sharing. Congratulations on your accomplishments in the ABT! There was one thing that I wanted to point out at 11:00. This table is the reason that I feel like it should become standard notation to write dice rolls with a hyphen between the numbers, i.e. 1-1 and not 11. Note that the importance of this distinction is clearly displayed in the first entry under the right two columns of the table. The columns begin the same way, but have greatly different meanings. Although we can very easily deduce the proper way to understand the table (and you point it right out), it just seems so much more simple or intuitive to me to use a hyphen. I see it written that way sometimes, but I wish it were more widely adopted. Anyway, please don't be offended by my nit-pickiness. I'm clearly just a nerd with a pet peeve, but I figured it was worth mentioning all the same.
Hi Mackenzie, I totally hear you on this point. I have thought a lot about this myself over the past 7 years of learning and communicating backgammon. Honestly, in my personal opinion, I have decided that it is best *without* the hyphen. I say this because almost always it is quite clear from context, and it saves so much extra characters and just looks a lot more elegant in the long run. Including in the example you cited from the video: I think it is quite clear from context what he is referring to, and the hyphen seems quite superfluous to me if we were to insist on it in ALL the BG literature. Just my two cents, but I totally understand your personal taste and appreciate the comment!
If you have a three point board, and your opponent is on the bar, he has a 75% chance of entering. For example, assume the three points you have covered are your 6,5, and 4 points. The only nine rolls for your opponent that keep him from NOT entering are 66, 55, 44, 65, 56, 64, 46, 54, and 45. Thus, the other 27 shots allow him to enter. 27/36 = .75
I just count who has the least backcheckers, he is the one ahead in the race. Cause: backcheckers have to run furthest, and get the most resistance. Then again i am only an intermediate :-)
first scenario shows 1 checker on the bar, on a three point board you can expect to come in on the first roll (100%, not 25%). He is a mathmagician alright.
I'd love to see a geometrical representation of some of this guys explanations.
Is there a way to get the powerpoint files on this ?
Hope your comment gets a 10.000 likes and we all the powerpoint :-)
Yes pause it and copy them down. Then transfer into your own PowerPoint, for your own purposes.... and giving the author full credit, of course.
Worth watching for the colorless pip count alone! Thanks
This is genius!!
Great Video! Very useful collection of mathematics over the board!
Thank you for your hard work which hopefully brings more people to this fascinating gentlemen sport!
Kind regards from Austria,
Christian
I could imagine some of this having a place on the next edition of the Cheat Sheet.
I loved your video, thank you very much for sharing. Congratulations on your accomplishments in the ABT!
There was one thing that I wanted to point out at 11:00. This table is the reason that I feel like it should become standard notation to write dice rolls with a hyphen between the numbers, i.e. 1-1 and not 11. Note that the importance of this distinction is clearly displayed in the first entry under the right two columns of the table. The columns begin the same way, but have greatly different meanings. Although we can very easily deduce the proper way to understand the table (and you point it right out), it just seems so much more simple or intuitive to me to use a hyphen. I see it written that way sometimes, but I wish it were more widely adopted.
Anyway, please don't be offended by my nit-pickiness. I'm clearly just a nerd with a pet peeve, but I figured it was worth mentioning all the same.
Hi Mackenzie,
I totally hear you on this point. I have thought a lot about this myself over the past 7 years of learning and communicating backgammon. Honestly, in my personal opinion, I have decided that it is best *without* the hyphen. I say this because almost always it is quite clear from context, and it saves so much extra characters and just looks a lot more elegant in the long run. Including in the example you cited from the video: I think it is quite clear from context what he is referring to, and the hyphen seems quite superfluous to me if we were to insist on it in ALL the BG literature.
Just my two cents, but I totally understand your personal taste and appreciate the comment!
I now wish that I was a math nerd in school. Great information!!
Thanks for uploading - a great lecture building/reinforcing valuable skills
The math is great, I would love to see how this is deployed in strategies.
when you have a 3 point home board why are the chances 50% of entering? if you have one die 1-6 and any three are covered... What am I missing?
If you have a three point board, and your opponent is on the bar, he has a 75% chance of entering.
For example, assume the three points you have covered are your 6,5, and 4 points. The only nine rolls for your opponent that keep him from NOT entering are 66, 55, 44, 65, 56, 64, 46, 54, and 45. Thus, the other 27 shots allow him to enter. 27/36 = .75
With a 3 point home board, the chance of entering one checker from the bar is 75%. Just look at a 1x6 dice diagram and you'll see!
You roll two dice
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I just count who has the least backcheckers, he is the one ahead in the race. Cause: backcheckers have to run furthest, and get the most resistance. Then again i am only an intermediate :-)
I usually guess the pip count and am off about 5pips or less! Too much time wasted on pip count in my opinion.
first scenario shows 1 checker on the bar, on a three point board you can expect to come in on the first roll (100%, not 25%). He is a mathmagician alright.