Practical Poker Math

3. Odds in Texas Hold’em
Pair >>> Set
Whether the Pair is in the pocket or the player has paired one
of his hole cards, there are still only 2 cards that will make
the Set among the remaining 47. The odds of making a Set
from a Pair on the Turn are:
Total Possibilities = 47
– WILLs = 2
WILLNOTs = 45
4 Flush >>> Flush
Odds of Turning a Set with a Pair
WILLNOTs : WILLs
45 : 2
Reduce
45 / 2 : 2 / 2
22.5 : 1
Again, whether there are 2 suited cards in the pocket or 1
suited card in the hole and 3 suited on the board, there are still
9 cards among the unseen 47 that will complete the Flush:
Total Possibilities = 47
– WILLs = 9
WILLNOTs = 38
Odds of Turning a Flush with a 4-Flush
WILLNOTs : WILLs
38 : 9
Reduce
38 / 9 : 9 / 9
4.22 : 1
98