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!!
Posted 10 months ago
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BeatItPlease
412 posts
Joined 10/2010
JohnTs
162 posts
Joined 08/2011
JohnTs
162 posts
Joined 08/2011
snarble5
1685 posts
Joined 07/2010
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!!
Posted 10 months ago
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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
I hope it will help you
Posted 10 months ago
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