# General Poker Discussion Poker Forums

## Poker Propability

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#### JohnTs

162 posts
Joined 08/2011

Hi,

I need a little help please. There is a table that gives the propability that no overcards will come on the flop, turn and river, for each of the pocket pairs from 3 to K. Can I ask if someone has table gives the probability that at least two (2) overcards will come on the flop, turn and river, for each of the pocket pairs from 3 to K??

Thank you!!

412 posts
Joined 10/2010

Could you link to that table? I would be interested to see it.

#### JohnTs

162 posts
Joined 08/2011

Could you link to that table? I would be interested to see it.

Here you are.
http://en.wikipedia.org/wiki/Poker_probability_(Texas_hold_'em)

[http://en.wikipedia.org/wiki/Poker_probability_(Texas_hold_'em)]http://www.deucescracked.com[http://en.wikipedia.org/wiki/Poker_probability_(Texas_hold_'em)]

#### JohnTs

162 posts
Joined 08/2011

Does someone has table gives the probability that at least two (2) overcards will come on the flop, turn and river, for each of the pocket pairs from 3 to K??

#### snarble5

1685 posts
Joined 07/2010

im not really sure how this info is useful.

#### OranRai

59 posts
Joined 02/2010

Hi,

I need a little help please. There is a table that gives the propability that no overcards will come on the flop, turn and river, for each of the pocket pairs from 3 to K. Can I ask if someone has table gives the probability that at least two (2) overcards will come on the flop, turn and river, for each of the pocket pairs from 3 to K??

Thank you!!

#### OranRai

59 posts
Joined 02/2010

Hi,

Here is how you could find it. For example you have TT in your hand, we have 50 cards unseen in the deck.
In the 50 unseen cards we have 4*4 = 16 cards (JJ, QQ, KK, AA) greater than TT and 50-16 = 34 cards smaller or equal to TT.

In the flop, turn, river we have the following probabilities (compound probability ) that the 3, 4, 5 cards are < = TT:

Flop : P_flop = (34/50) * (33/49) * (32/ 48) = 0.305
Turn : P_turn = (34/50) * (33/49) * (32/ 48) * (31/47) = 0.201
River : P_river =(34/50) * (33/49) * (32/ 48) * (31/47) * (30/46) = 0.131

The probality that at least one overcard (J, Q, K, A) will come on the flop, turn, river is :

P_overcard_flop = 1 - 0.305 = 0.695
P_overcard_turn = 1 - 0.201 = 0.799
P_overcard_river = 1 -0.131 = 0.869