Couple of odds questions

I was dealt K-2 diamonds in the big blind.

Flop comes J-2-K

2 callers. I'm first to act.

What are the odds that one of the callers would have pocket deuces?

What are the odds that the other caller would have K-J.



2nd question

A friend was dealt K-K.

Only caller was dealt A-10.

What are the odds that two more 10's would show up on the flop?


My friends and I were trying to figure it out after the game last night.

Thanks to all of you math geniuses out there for any assistance with this.

2nd question for exactly two tens showing up on the flop is:

3*(3/48)*(2/47)*(45/46)

you do 3 times cause the flop could be TTX, TXT, or XTT where X is any non-T card.

I'm more interested in how you played K-2 with two pair after the flop? I would have pushed right there because the chance of someone making another two pair is too great to allow more cards to come.

That is exactly what I did. I pushed. Unfortunately I pushed right into a guy who had pocket deuces. I had him covered about 5/3, but obviously lost 60% of my stack. The other caller had A-K and folded when I went all in. I had some people telling me that the push was the wrong move, but I figured that the odds of one of the callers having a set or K-J was very slim.

If you didn't have the call from deuces at the table, AK would have snap called. I think the move was ok as played.

Quote: MrPapagiorgio

If you didn't have the call from deuces at the table, AK would have snap called. I think the move was ok as played.

He doesn't provide stack depths, but if he is less than 50bb, it's probably ok.

I don't know crap about the proper way to play poker hands but I think I know math.

If you want a precise probability I would need to know how many other players there are. Say there's ten total players. 20 cards are out preflop... Assume the other seven players didn't match. So after flop, the remaining 29 cards contain, 2 k's 2 2's and three J's.. So the chance that drawing two cards that are those 2's would be... 1/406 (known as a Combination, you can google that). So from there you should be able to figure out the rest..

Quote: ewjones080

I don't know crap about the proper way to play poker hands but I think I know math.

If you want a precise probability I would need to know how many other players there are. Say there's ten total players. 20 cards are out preflop...

He already had written that only 2 other people had seen the flop. The total number of players on the table has no relevance here, at least not to that extend you are describing it.

Actually, each other preflop folded hand makes it slightly *less* probable to see any 2 in your opponents, because you are more likely to fold X2 (or in other terms speaking: the average folded hand contains more 2's than any other card, simply because it has the lowest value).

Okay that makes sense.. I assumed the folds were post flop.. Still trying to figure odds would be imprecise, since someone might fold a X2 or something.. And it would be tough to judge what others would fold or call..