( "As we said yesterday ... ") We had been in the probability of receiving pocket pairs (pair of hand). Today we will see how likely it is that these pocket pairs liguen a set, is a trio of our two hole cards (I think I'll think of a friendly translation for this term, I will not put the literal "hole cards" or "hole cards" because we bring too many memories of intercourse or golf, I do not like "hole cards", we'll see what I can think
...). First we calculate the probability of catching set on the flop. Remember to stretch Laplace favorable events / event possible.
possible events are easy to calculate: 50 letters are unknown, to be grouping of 3 to 3. This is C50, 3 = 19,600 possible flops.
Now for the favorable flops. Imagine you have 6h6c, then flops that are caught in September with a single 6 (if they leave the two is quad, that does not count). So the three flop cards we could get us the following:
6dXX
The X is not porn, or two diamonds (that most young people do not get caught) but X is not a mathematical (if it were, the second and third card on the flop would be the same. By the way, 6d means 6 of diamonds, in case anyone is too neophyte neophyte, and is not an insult, if someone is too stupid, and stupidity can be virtue in some contexts). The X is for us an unknown letter can be repeated or not. Then, when you leave the 6, the other two cards can be combined in many different ways, resulting in many positive events:
Since there are 48 unknown cards in the deck (52-2holecards-1 six-the six remaining and can not leave because it would quad = 48 possible cards to set on the flop), and can be grouped 2 by 2, as we have C48, 2 = 1128 flops favorable. Ojo, favorable to the six of diamonds, but all this also happen to the 6 of spades, so in total there are 2 * 1128 = 2256 flops favorable.
Total:
2256/19600 = 11.51%, every time we pp and see the flop, we caught September 1 of each 8.7 times .
This is the% you should see your database: if you play 100bb or more, the deviations of the% can greatly affect the profit or loss.
The total number of hands:
% pp =
% 5.88% 11.51%
set = Intersection of events: 0.68% = 1 in 148 hands.
But that's on the flop, if we reach the river the probability is higher, the board brings 5 \u200b\u200bcards, 4 of which are unknown:
possible: C50, 5 = 2118760
boards
6XXXX
board favorable: 2 * C48, 4 = 389 160
boards Laplace = 18.37% = every 5.4 times
The overall computation of hands:
5.88% * 18.37% = 1.08% = every 93 hands.
And if for some reason, sidereal astrology-hypnotic-mecagoenelcicloreproductivodelmejillóncebra-eclectic-sleepwalker-hermeneutic-bizarre-chirripitifláutico notedejesabiertalatapadelbáter want to know what is the probability of catching a set of 888 or above to the river?
In that case, the reduction in the number of pocket-friendly pair, as we saw in the previous article:
% pp> = 8 ....... 3.17% pro
the boards remain the same: those where there is one, and only one of the letters I reptartieron, 18.37%
intersecting both events: 888 +
% set up the river = 0.58% = every 172 hands
Contraindications: If you
Note that catches fewer sets than predicted here, and concludes that the probability in the real world there ... Do not worry: every time you get a pair, then VPIP 100%, 100% FLOP SAW and SAW 100% RIVER, and see how it starts to catch more sets and mushrooms "and Amanita faloides. "
(do not miss when it disintegrated with a laser beam of the bicycle child)
...). First we calculate the probability of catching set on the flop. Remember to stretch Laplace favorable events / event possible.
possible events are easy to calculate: 50 letters are unknown, to be grouping of 3 to 3. This is C50, 3 = 19,600 possible flops.
Now for the favorable flops. Imagine you have 6h6c, then flops that are caught in September with a single 6 (if they leave the two is quad, that does not count). So the three flop cards we could get us the following:
6dXX
The X is not porn, or two diamonds (that most young people do not get caught) but X is not a mathematical (if it were, the second and third card on the flop would be the same. By the way, 6d means 6 of diamonds, in case anyone is too neophyte neophyte, and is not an insult, if someone is too stupid, and stupidity can be virtue in some contexts). The X is for us an unknown letter can be repeated or not. Then, when you leave the 6, the other two cards can be combined in many different ways, resulting in many positive events:
Since there are 48 unknown cards in the deck (52-2holecards-1 six-the six remaining and can not leave because it would quad = 48 possible cards to set on the flop), and can be grouped 2 by 2, as we have C48, 2 = 1128 flops favorable. Ojo, favorable to the six of diamonds, but all this also happen to the 6 of spades, so in total there are 2 * 1128 = 2256 flops favorable.
Total:
2256/19600 = 11.51%, every time we pp and see the flop, we caught September 1 of each 8.7 times .
This is the% you should see your database: if you play 100bb or more, the deviations of the% can greatly affect the profit or loss.
The total number of hands:
% pp =
% 5.88% 11.51%
set = Intersection of events: 0.68% = 1 in 148 hands.
But that's on the flop, if we reach the river the probability is higher, the board brings 5 \u200b\u200bcards, 4 of which are unknown:
possible: C50, 5 = 2118760
boards
6XXXX
board favorable: 2 * C48, 4 = 389 160
boards Laplace = 18.37% = every 5.4 times
The overall computation of hands:
5.88% * 18.37% = 1.08% = every 93 hands.
And if for some reason, sidereal astrology-hypnotic-mecagoenelcicloreproductivodelmejillóncebra-eclectic-sleepwalker-hermeneutic-bizarre-chirripitifláutico notedejesabiertalatapadelbáter want to know what is the probability of catching a set of 888 or above to the river?
In that case, the reduction in the number of pocket-friendly pair, as we saw in the previous article:
% pp> = 8 ....... 3.17% pro
the boards remain the same: those where there is one, and only one of the letters I reptartieron, 18.37%
intersecting both events: 888 +
% set up the river = 0.58% = every 172 hands
Contraindications: If you
Note that catches fewer sets than predicted here, and concludes that the probability in the real world there ... Do not worry: every time you get a pair, then VPIP 100%, 100% FLOP SAW and SAW 100% RIVER, and see how it starts to catch more sets and mushrooms "and Amanita faloides. "
(do not miss when it disintegrated with a laser beam of the bicycle child)
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