Daily Poker Quiz: Archive

Odds of losing
2008-08-16

The board on the river is J T 9 3 3.

How big is the risk of you having a worse hand than a completely random hand?





21.7 % (correct)
You have 2 known cards and there are another 5 on the table, so there are 52 - (2 + 5) = 45 cards left in the deck. Of these, you can make (45 * (45 - 1)) / 2 = 990 combinations of two cards - hands, that is.

The following combinations have you beaten:
Four of a kind: 1 (1x33)
Full house: 23 (1xJJ, 3xTT, 3x99, 4xJ3, 6xT3, 6x93)
Flush: 45 (all flushes beat you and there are ten flush cards left. (10 * (10 - 1)) / 2 = 45 combinations)
Straight: 41 (11xKQ, 15xQ8, 15x87)
Three of a kind: 70 (there are two treys that can be paired with 35 other cards each that don't give a full house or four of a kind)
Two pair: 35 (6xJT, 6xJ9, 8xAJ, 6xAA, 3xKK, 6xQQ)

In total, that's 215 combinations out of 990 - or a 21.7 % risk of losing.

24.1 %
You have 2 known cards and there are another 5 on the table, so there are 52 - (2 + 5) = 45 cards left in the deck. Of these, you can make (45 * (45 - 1)) / 2 = 990 combinations of two cards - hands, that is.

The following combinations have you beaten:
Four of a kind: 1 (1x33)
Full house: 23 (1xJJ, 3xTT, 3x99, 4xJ3, 6xT3, 6x93)
Flush: 45 (all flushes beat you and there are ten flush cards left. (10 * (10 - 1)) / 2 = 45 combinations)
Straight: 41 (11xKQ, 15xQ8, 15x87)
Three of a kind: 70 (there are two treys that can be paired with 35 other cards each that don't give a full house or four of a kind)
Two pair: 35 (6xJT, 6xJ9, 8xAJ, 6xAA, 3xKK, 6xQQ)

In total, that's 215 combinations out of 990 - or a 21.7 % risk of losing.

26.5 %
You have 2 known cards and there are another 5 on the table, so there are 52 - (2 + 5) = 45 cards left in the deck. Of these, you can make (45 * (45 - 1)) / 2 = 990 combinations of two cards - hands, that is.

The following combinations have you beaten:
Four of a kind: 1 (1x33)
Full house: 23 (1xJJ, 3xTT, 3x99, 4xJ3, 6xT3, 6x93)
Flush: 45 (all flushes beat you and there are ten flush cards left. (10 * (10 - 1)) / 2 = 45 combinations)
Straight: 41 (11xKQ, 15xQ8, 15x87)
Three of a kind: 70 (there are two treys that can be paired with 35 other cards each that don't give a full house or four of a kind)
Two pair: 35 (6xJT, 6xJ9, 8xAJ, 6xAA, 3xKK, 6xQQ)

In total, that's 215 combinations out of 990 - or a 21.7 % risk of losing.

28.9 %
You have 2 known cards and there are another 5 on the table, so there are 52 - (2 + 5) = 45 cards left in the deck. Of these, you can make (45 * (45 - 1)) / 2 = 990 combinations of two cards - hands, that is.

The following combinations have you beaten:
Four of a kind: 1 (1x33)
Full house: 23 (1xJJ, 3xTT, 3x99, 4xJ3, 6xT3, 6x93)
Flush: 45 (all flushes beat you and there are ten flush cards left. (10 * (10 - 1)) / 2 = 45 combinations)
Straight: 41 (11xKQ, 15xQ8, 15x87)
Three of a kind: 70 (there are two treys that can be paired with 35 other cards each that don't give a full house or four of a kind)
Two pair: 35 (6xJT, 6xJ9, 8xAJ, 6xAA, 3xKK, 6xQQ)

In total, that's 215 combinations out of 990 - or a 21.7 % risk of losing.



Result:

21.7 % 26%
24.1 % 29%
26.5 % 24%
28.9 % 21%

Totally 942 vote(s)