Tanzer
Posted by Tanzer
Dec 19, 2013

How to calculate side bet odds for six decks for "Perfect Pairs"

Hello,
First of all I would like to thank you what you have done with "The Wizard Of Odds" it has been a great help.
I have been in the casino industry around twenty years. I do face some dificulties evet now and then and this is one of them.
The side bet odds, which is called the Perfect Pairs, are calculated according to the 8 decks shoe. We are using 6 decks shoe. I made a simple calculation and revised the odds of the side bet accordingly but I am not so sure about it. Here are the numbers that I have reached;
8 Decks
Hand Pays
Perfect Pair 30:1
Colored Pair 10:1
Red/Black Pair 5:1

According to my calculation the odds should be;
6 Decks
Hand Pays
Perfect Pair 22,5:1 (can be rounded up to 25:1)
Colored Pair 7,5:1 (can be rounded up to 8:1)
Red/Black Pair 3,75:1 (can be rounded up to 4:1)

If you could help me on this matter I really do appreciate.
Thanks and kind regards.

Comments

Wizard
Wizard Dec 19, 2013

You're welcome. This should have been a post, not a blog entry. The math of Perfect Pairs is pretty easy, so if somebody else doesn't help you, I probably will.

miplet
miplet Dec 19, 2013

The 8 deck paytable has a 3.4% house edge:


Perfect14560.016867469879518300.506024096385542
Colored16640.019277108433735100.192771084337349
Mixed33280.0385542168674750.192771084337349
non pair798720.925301204819277-1-0.925301204819277
Total863200.942168674698795-0.033734939759036




Here is your proposed paytable with a 21.5% house edge:




EventCombinationsProbabilityPaysReturn
Perfect7800.016077170418006250.401929260450161
Colored9360.01929260450160880.154340836012862
Mixed18720.03858520900321540.154340836012862
non pair449280.92604501607717-1-0.92604501607717
Total485160.942122186495177-0.215434083601286




I would use the following paytable with a 4.2% house edge:




EventCombinationsProbabilityPaysReturn
Perfect7800.016077170418006250.401929260450161
Colored9360.019292604501608150.289389067524116
Mixed18720.03858520900321550.192926045016077
non pair449280.92604501607717-1-0.92604501607717
Total485160.942122186495177-0.041800643086817




I have a spreadsheet in google docs

odiousgambit
odiousgambit Dec 20, 2013

>This should have been a post, not a blog entry



We'll have to see if this person even comes back to see if his question was answered. You have to suspect that someone so impatient to ask the question that he would use the "blog" function also has asked the question in many other sites. Granting, the OP in this case does seem articulate and courteous; yet it always seems to me that surely anyone doing this must be asking himself "why am I blogging this?" and telling himself "I am just in a big hurry".



Yes, I have been harping on this for a long time and testing everyone's patience. The main reason it matters to me is at times I have had a blog post get knocked off the "front page" pretty quickly, and, yes, I was wondering if someone might comment. I can put up with the bad luck of other bloggers happening to want to blog at the same time coincidentally, but it grates when some new member is grabbing a spot while just showing his impatience. And, yes, I do note some times they never come back to even check on it again. Considering the steps that have been taken to solve other problems, it just doesnt seem to me that it would be hard to put in a provision of some kind for new members to have to wait before they can blog. Thanks for listening.