Practical Poker Math

2. The Basic Calculations
After the Flop and with 2 cards to come, regardless of the
hand, any player still involved must know:
1. The odds of improvement on the next card (the
Turn)
2. The odds of improvement over the next two cards
(the Turn and the River)
3. The odds of hitting certain Runner-Runner hands.
Odds of Improvement on the Turn
With the Turn card to come, the odds calculation for the various
hands is straightforward. The only number that changes
is the number of outs.
After the Flop and before the Turn, counting your 4 hole
cards, there are 45 unseen cards.
Low Draw & Flush Draw >>> Low or Flush
There are 16 cards that will complete the Low, plus 9 cards
that will make the Flush, minus 4 cards that are counted
among those that will make the Low — 16 + 9 – 4 = 21:
Total Possibilities = 45
– WILLs = 21
WILLNOTs = 24
Odds of Turning a Low or a Flush
WILLNOTs : WILLs
24 : 21
Reduce
24 / 21 : 21 / 21
1.1 : 1
40