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OOPs - Some Changes/Fixes to our Calculations

Page 180

On Page 175 - AA23 >>>> Nut
Low

To flop a nut Low with this hand, the Flop must contain 2 unpaired low cards that do not match any of the hole cards, plus a third low card that may match any of the hole cards, but may not match either of the first two cards flopped.

First card must be ranked 4 -8, probability is 20/48

Second card must be ranked 4 -8 except for the rank of the first card, probability 16/47

Third card can be any of the 12 remaining low cards that don't include the ranks of the first 2 cards plus all of the cards that match the rank of the hole cards, 8, probability 20/46

The probability of this flop is represented
by a combination of these three probabilities:

20/48 * 16/47 * 20/46 = 6400/103776 =
.0616712 or 6.2%

The odds are 93.8 : 6.2 = 15.1 :
1

Page 180

AA2X >>> Nut Low Draw (assumes x is
> 8)

First card must me 3 - 8, probability
24/48

Second card must be 3 - 8 minus the cards
ranked the same as first card, probability 20/47

Third card can be any card in the deck
EXCEPT an ace or a deuce, it can even counterfeit either of the first 2 cards,
probability 41/46

The probability of this flop is represented
by a combination of these three probabilities:

24/48 * 20/47 * 41/46 = 19680/103776
= .1986392 or 20%

The odds are 80 : 20 = 4 : 1

On page 186 the calculation is to flop the
nut low A2xx in the hole:

To Flop a nut low with this starting hand
requires a flop of 3 unpaired cards that rank 3 - 8.

There are 24 such cards and the probability
of the first card of the flop being one of them is 24/48.

For the second card there are 20 cards that
will fill the bill of the remaining 47, so the probability of the second card is
20/47.

There are 16 possible 3rd cards out of the
remaining 16 so that makes the probability of this card 16/46.

The probability of this flop is represented
by a combination of these three probabilities:

24/48 * 20/47 * 16/46 = 7680/103776 =
.074055 or 7.4%

The odds are 92.6 : 7.4 = 12.5 to
1