Re^2: Dial up some obscure stats for the Chutes and Ladders game

[toolic]

You are not nearly geeky enough.

My wife would disagree. But, my son is young enough that he doesn't realize his father is one yet. I wonder how many years I have left before it dawns on him.

This all assumes that you have a "fair" dial

Don't get me started on the dial! The width of the line separating the numbers is comparable to the width of the arrow-head. This ambiguity forces far too many re-spins (that's harder to simulate with Perl :). Additionally, this ambiguity is a function of the person spinning the dial. My son claims he must re-spin when it is close and the number does not suit his needs!

[ELISHEVA]

My son claims he must re-spin when it is close and the number does not suit his needs!

Which you clearly agree with... meaning you are first Dad and only second geek. You may be in luck: your son may never discover you are a geek. You'll merely be his hero (at least until some long off Saturday night when you absolutely positively refuse to hand over the car keys - but that will be only temporary).

Pretty cool to have a Dad serve up an entire post of obscure stats in honor of his son - I imagine in the next installment, you'll start hand-crafting computer games for him :-) There are many ways to love a child - all of them count.

Best, beth

[graff]

The width of the line separating the numbers is comparable to the width of the arrow-head. This ambiguity forces far too many re-spins (that's harder to simulate with Perl :).

Oh come on! (Width of line * number of lines) / ( 2 * pi * radius of arrow ) gives you a probability that a spin will land on a line. What's so hard about that? (I believe the width of the arrow point is irrelevant, or at least ignorable.)

Additionally, this ambiguity is a function of the person spinning the dial. My son claims he must re-spin when it is close and the number does not suit his needs!

So a per-player weighting factor needs to be applied to the above-mentioned probability. I will grant that assigning a "direction" to the weighting factor, based on the relative merits of two adjacent values on the dial, makes for a more challenging decision process.

I know... there's a certain degree of general fatigue induced by parenting young children, and this tends to limit the amount of time and effort that can be expended on purely geek pursuits. Been there, done that.

[toolic]

Of course, the engineering solution is to replace the poorly-designed spinner with a device with far fewer faults: a single die. I've yet to see a die land on its edge or corner. How's that for Laziness.

[ambrus]

You're using too good dice. I have two really cheap plastic dice that are damaged on a corner so they can land there.

[tweetiepooh]

Maybe that's why we use a die. The chances of not hitting one of the 6 faces is too remote to worry about. You would have to account for die being thrown across room and under the sofa.