Update (14th Jun 18)
My argument here is that if we assume all hands are 6-card hands, we have created a lot of extra invalid combinations to the "total". For example in this game, an extra of
37446746112/31=1207959552 combinations were created. Am I correct?
Baccarat is a popular CASINO game played by a lot of people. One of my friend recently asked me a probability question and further brought my interest in this as I have a PhD in Statistics.
I read on this page where Combinatorial Analysis is used. Looking at the example here,
- Player’s two cards: 1, 4
- Banker’s two cards: 2, 4
- Card 5: 2 (dealt to Player)
- Card 6: 7 (not used)
I understand the method of working out the number 4030726144. But my question is
Why would we consider the combinations of the SIX cards? As we only use FIVE card for this hand (according to the rules of this game). The answer for this
hand would be 4030726144/32 = 125960192.
It seems to me that the
total 4,998,398,275,503,360 is an agreed number where it's been
referred to on many sites, for example, the calculator seem to be using the same method. But none of which seem to explain why.
As far as I am concerned, we should only consider VALID hands. So the example above should only be considered as a FIVE-card-hand
Can someone help me understand this better?