Bachelor Party - How bad are these odds??

[scatthecat]

At my cousin's bachelor party this past weekend, there was a dice game set up in which 3 normal 6 - sided dice were rolled in a cage, and their total was counted to get a number between 3 and 18.

You could put down your cash on any of the 16 numbers, and each one paid out 10 to 1 if the number was rolled.

Obviously, I thought. . . you'd have to be a dimwit to put your green down on any number even close to 3 or 18.

But after 10 came up three times in a row, the gent next to me exclaimed 'Whoa!! That number's done, I'm not putting anything down on 10 for another hour!' and shifted his ones down to the four and the five ('cause triple snake eyes is pretty unlikely').

Just for fun, assuming that you kept your money solely on 10 and 11, what would the 'house edge' in this game be? How bad is it on 3 or 18??

I think I figured it out but just wanted some confirmation, if anyone's interested in it!

Later guys,

-scat

[chuckleslovakian]

Brute forcing it got 27 different combinations, meaning a player edge 27/216=1/8>1/10
136
145
154
163
226
235
244
253
262
316
325
334
343
352
361
415
424
433
442
451
541
532
523
514
631
622
613

[BluffBlank]

<font class="small">Code:</font><hr /><pre>
number combinations percent
3 1 0.46%
4 3 1.39%
5 6 2.78%
6 10 4.63%
7 15 6.94%
8 21 9.72%
9 25 11.57%
10 27 12.50%
11 27 12.50%
12 25 11.57%
13 21 9.72%
14 15 6.94%
15 10 4.63%
16 6 2.78%
17 3 1.39%
18 1 0.46%
</pre><hr />

you have an advantage on 9-12.

[clowntable]

Gamblers fallacy comes to mind [img]/images/graemlins/smile.gif[/img]

[Atlanta Andrew]

[ QUOTE ]
<font class="small">Code:</font><hr /><pre>
number combinations percent
3 1 0.46%
4 3 1.39%
5 6 2.78%
6 10 4.63%
7 15 6.94%
8 21 9.72%
9 25 11.57%
10 27 12.50%
11 27 12.50%
12 25 11.57%
13 21 9.72%
14 15 6.94%
15 10 4.63%
16 6 2.78%
17 3 1.39%
18 1 0.46%
</pre><hr />

you have an advantage on 9-12.

[/ QUOTE ]

No, you have an advantage on 8-13. Nice game!

[kyro]

[ QUOTE ]
[ QUOTE ]
<font class="small">Code:</font><hr /><pre>
number combinations percent
3 1 0.46%
4 3 1.39%
5 6 2.78%
6 10 4.63%
7 15 6.94%
8 21 9.72%
9 25 11.57%
10 27 12.50%
11 27 12.50%
12 25 11.57%
13 21 9.72%
14 15 6.94%
15 10 4.63%
16 6 2.78%
17 3 1.39%
18 1 0.46%
</pre><hr />

you have an advantage on 9-12.

[/ QUOTE ]

No, you have an advantage on 8-13. Nice game!

[/ QUOTE ]

If you did them all, you'd still come out ahead, but you make more money doing just 9-12.

[BluffBlank]

[ QUOTE ]

If you did them all, you'd still come out ahead, but you make more money doing just 9-12.


[/ QUOTE ]

How do you come out ahead putting $16 down ($1 each) on a bet that you'll end up with $11?

[Atlanta Andrew]

[ QUOTE ]
[ QUOTE ]
[ QUOTE ]
<font class="small">Code:</font><hr /><pre>
number combinations percent
3 1 0.46%
4 3 1.39%
5 6 2.78%
6 10 4.63%
7 15 6.94%
8 21 9.72%
9 25 11.57%
10 27 12.50%
11 27 12.50%
12 25 11.57%
13 21 9.72%
14 15 6.94%
15 10 4.63%
16 6 2.78%
17 3 1.39%
18 1 0.46%
</pre><hr />

you have an advantage on 9-12.

[/ QUOTE ]

No, you have an advantage on 8-13. Nice game!

[/ QUOTE ]

If you did them all, you'd still come out ahead, but you make more money doing just 9-12.

[/ QUOTE ]

Obviously, the most +EV betting would be to only place bets on 10 or 11.

I was simply making the point that if you place a single bet on any single number 8 - 13, you would be getting +EV action. 3-7 and 14-18 are -EV bets.

I do not understand how the 9-12 range is relevant because it illustrates neither of these points.

[BluffBlank]

[ QUOTE ]
[ QUOTE ]

If you did them all, you'd still come out ahead, but you make more money doing just 9-12.


[/ QUOTE ]

How do you come out ahead putting $16 down ($1 each) on a bet that you'll end up with $11?

[/ QUOTE ]

oh i see what you're saying, did them all as in all the numbers from 8 - 13. gotcha. yep. agree. ignore my previous post.

[Big Limpin]

from the title of this post, i was expecting 15 guys trying to get with the same stripper [img]/images/graemlins/tongue.gif[/img]