Comments for The Solarium http://graciesdad.wordpress.com A Sunny Place for Ideas to Grow Tue, 17 Nov 2009 20:53:07 +0000 http://wordpress.com/ hourly 1 Comment on Farkle Odds by Whit http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-268 Whit Tue, 17 Nov 2009 20:53:07 +0000 http://graciesdad.wordpress.com/?p=177#comment-268 I have been trying to figure out the odds on Farkling at the end of a frame when you have a one or five with two dice left. Obviously, you will Farkle 2 out of 3 times throwing one die. Your chart shows you will Farkle 1 out of 2.3 times with two dice. My question is which would be better in the following scenario. You roll three dice and it comes up 5,5,4. Should you take one 5 or two 5's? One way you have to roll either a 1 or 5 with one dice, the other way you have to roll either a 1 or 5 twice or either double 1 or 5. I think it is better statistically to take one 5 at the time but I don't know enough about the math to prove it. I have been trying to figure out the odds on Farkling at the end of a frame when you have a one or five with two dice left.

Obviously, you will Farkle 2 out of 3 times throwing one die. Your chart shows you will Farkle 1 out of 2.3 times with two dice.

My question is which would be better in the following scenario. You roll three dice and it comes up 5,5,4. Should you take one 5 or two 5’s? One way you have to roll either a 1 or 5 with one dice, the other way you have to roll either a 1 or 5 twice or either double 1 or 5.

I think it is better statistically to take one 5 at the time but I don’t know enough about the math to prove it.

]]> Comment on Farkle Odds by ggraham412 http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-266 ggraham412 Mon, 09 Nov 2009 02:18:39 +0000 http://graciesdad.wordpress.com/?p=177#comment-266 Actually, the result is correct. It is statistically valid because I counted all of the ways you can throw a Farkle with six die (above). And, as someone else already pointed out above, simulating with 10 million throws is already overkill because there are only 46656 6-die combinations and I counted them already. (Although I still contend the simulation was useful from the point of view of attacking the problem cleanly using an alternate method.) Are we talking about the same figures? I am calculating the odds of Farkling with 6-die on ONE throw (ie- the first throw). Perhaps you are considering the case of rolling up several throws together and failing to reach the 300 point minimum score before Farkling, as in the Facebook variation? I'd agree offhand that seems more like 10%, but that's not what I calculated. Actually, the result is correct. It is statistically valid because I counted all of the ways you can throw a Farkle with six die (above). And, as someone else already pointed out above, simulating with 10 million throws is already overkill because there are only 46656 6-die combinations and I counted them already. (Although I still contend the simulation was useful from the point of view of attacking the problem cleanly using an alternate method.)

Are we talking about the same figures? I am calculating the odds of Farkling with 6-die on ONE throw (ie- the first throw). Perhaps you are considering the case of rolling up several throws together and failing to reach the 300 point minimum score before Farkling, as in the Facebook variation? I’d agree offhand that seems more like 10%, but that’s not what I calculated.

]]> Comment on Farkle Odds by Nic http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-265 Nic Mon, 09 Nov 2009 01:26:40 +0000 http://graciesdad.wordpress.com/?p=177#comment-265 You can't possibly be serious. The results of your simulation are way out. It's closer to 9% to farkle with 6 dice. Dude, learn statistics, and don't trust you simulation, even after 10 million runs... You can’t possibly be serious. The results of your simulation are way out. It’s closer to 9% to farkle with 6 dice. Dude, learn statistics, and don’t trust you simulation, even after 10 million runs…

]]> Comment on Multiple DataKeyNames in GridView by RaeRae http://graciesdad.wordpress.com/2007/05/07/multiple-datakeynames-in-gridview/#comment-264 RaeRae Wed, 04 Nov 2009 15:40:16 +0000 http://graciesdad.wordpress.com/2007/05/07/multiple-datakeynames-in-gridview/#comment-264 First much thanks for writing this aritcle!!!!! I found I was able to retrieve the value of the my second datakey by using SelectedValue instead of SelectedIndex. Me.GridView1.DataKeys(GridView1.SelectedValue).Values("PublicationId") Thanks again for this article First much thanks for writing this aritcle!!!!!

I found I was able to retrieve the value of the my second datakey by using SelectedValue instead of SelectedIndex.

Me.GridView1.DataKeys(GridView1.SelectedValue).Values(“PublicationId”)

Thanks again for this article

]]> Comment on Farkle Odds by ggraham412 http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-262 ggraham412 Tue, 27 Oct 2009 13:44:45 +0000 http://graciesdad.wordpress.com/?p=177#comment-262 Technically it's unlimited: you could specify any large number, and I could (for example) keep rolling 6 "1's" over and over again until I exceed it, although it would be more unlikely the higher the number you choose. Technically it’s unlimited: you could specify any large number, and I could (for example) keep rolling 6 “1’s” over and over again until I exceed it, although it would be more unlikely the higher the number you choose.

]]> Comment on Farkle Odds by Barbie http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-261 Barbie Tue, 27 Oct 2009 01:07:42 +0000 http://graciesdad.wordpress.com/?p=177#comment-261 I have a question -- what is the highest score one can achieve in Face Book Farkle? I have a question — what is the highest score one can achieve in Face Book Farkle?

]]> Comment on Multiple DataKeyNames in GridView by Cesar Daniel http://graciesdad.wordpress.com/2007/05/07/multiple-datakeynames-in-gridview/#comment-260 Cesar Daniel Tue, 27 Oct 2009 00:51:29 +0000 http://graciesdad.wordpress.com/2007/05/07/multiple-datakeynames-in-gridview/#comment-260 Check out the second example: http://msdn.microsoft.com/en-us/library/system.web.ui.webcontrols.gridview.selecteddatakey.aspx Check out the second example:

http://msdn.microsoft.com/en-us/library/system.web.ui.webcontrols.gridview.selecteddatakey.aspx

]]> Comment on Farkle Odds by ggraham412 http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-259 ggraham412 Tue, 20 Oct 2009 17:30:08 +0000 http://graciesdad.wordpress.com/?p=177#comment-259 Thanks! It was in C#, only a few dozen lines. Thanks!

It was in C#, only a few dozen lines.

]]> Comment on Farkle Odds by Randy http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-258 Randy Tue, 20 Oct 2009 12:11:29 +0000 http://graciesdad.wordpress.com/?p=177#comment-258 10,000 is not nearly enough to accurately simulate the average. Some of the events have very low probability of happening, and you are stringing them along in series, so you are likely missing many combinations (or hitting too many). Also, when simulating so many random events, you'll need to do a serious check of your pseudo random number generator (esp. rand()). Lastly, has the Facebook app reset a couple times this month for y'all, too? My personal best has remained, but the best among friends has reset twice (not just the weekly and monthly). I wonder if they are tweaking the app and some settings do not convert to the new version... And if they are tweaking it, has the scoring changed? I've noticed that you cannot take 3-pair if you have 4-of-a-kind and a pair (the 3 pairs are not all unique), even though sometimes it would be a higher score. But I don't know if you ever could.... 10,000 is not nearly enough to accurately simulate the average. Some of the events have very low probability of happening, and you are stringing them along in series, so you are likely missing many combinations (or hitting too many).
Also, when simulating so many random events, you’ll need to do a serious check of your pseudo random number generator (esp. rand()).
Lastly, has the Facebook app reset a couple times this month for y’all, too? My personal best has remained, but the best among friends has reset twice (not just the weekly and monthly). I wonder if they are tweaking the app and some settings do not convert to the new version… And if they are tweaking it, has the scoring changed? I’ve noticed that you cannot take 3-pair if you have 4-of-a-kind and a pair (the 3 pairs are not all unique), even though sometimes it would be a higher score. But I don’t know if you ever could….

]]> Comment on Farkle Odds by Chris http://graciesdad.wordpress.com/2009/08/30/farkle-odds/#comment-257 Chris Mon, 19 Oct 2009 11:44:30 +0000 http://graciesdad.wordpress.com/?p=177#comment-257 Great post! What language did you program your simulation in? Great post! What language did you program your simulation in?

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