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Gambling and Probability:

Poker:
With nothing wild, in order of probability, with 5 cards being dealt:

Royal Flush - A,K,Q,J, 10 of the same suit
(1 in 650,000)

Straight Flush - Five cards of same suit in order
(1 in 65,000)

Four of a Kind - Four of the same number or "face card"
(1 in 4000)

Full House - Three of one number or "face", two of another same pair
(1 in 700)

Flush - 5 cards of the same suit
(1 in 500)

Straight - Five cards numerically in a row
(1 in 250)

Three of a Kind - Three of the same numbered or "face" card
(1 in 50)

Two Pair - Two different sets of matched numbered or "face" cards
(1 in 20)

One Pair - One set of the same numbered or "face" cards
(1 in 2 1 balls picked out of 3)
Lottery:
US PowerBall - 5 balls picked out of 45...
THEN 1 Powerball picked out of 42 - odds: 1 in 80,089,128

US The Big Game - 5 balls picked out of 50...
THEN 1 Powerball picked out of 36 - odds: 1 in 76,275,360

Australian PowerBall - 5 balls picked out of 45...
THEN 1 Powerball picked out of 45 odds: 1 in 54,979,155

California SuperLotto - 6 balls picked out of 51 odds: 1 in 18,009,460

New York Lotto - 6 balls picked out of 51 odds: 1 in 18,009,460

Texas Lotto - 6 balls picked out of 50 odds: 1 in 15,890,700

Spanish Pimera - 6 balls picked out of 49 odds: 1 in 13,983,816

French Lotto - 6 balls picked out of 49 odds: 1 in 13,983,816

Liechtenstein Plus Lotto - 6 balls picked out of 49 odds: 1 in 13,983,816
British Lotto - 6 balls picked out of 49 odds: 1 in 13,983,816

Canadian Lotto - 6 balls picked out of 49 odds: 1 in 13,983,816

Washington Lotto - 6 balls picked out of 49 odds: 1 in 13,983,816

Scandinavian Lotto - 6 balls picked out of 48 odds: 1 in 12,271,512

Hong Kong Lotto - 6 balls picked out of 47 odds: 1 in 10,737,573

Australian Tatts Lotto - 6 balls picked out of 45 odds: 1 in 8,145,060

Australian Oz Lotto - 6 balls picked out of 45 odds: 1 in 8,145,060

Irish Lotto - 6 balls picked out of 42 odds: 1 in 5,245,786
Roulette:
Red: Payoff: 1:1 True Odds: 47.37%
Black: Payoff: 1:1 True Odds: 47.37%
Odd: Payoff: 1:1 True Odds: 47.37%
Even: Payoff: 1:1 True Odds: 47.37%
numbers 1 to 18: Payoff: 1:1 True Odds: 47.37%
numbers 19 to 36: Payoff: 1:1 True Odds: 47.37%
numbers 1 to 12: Payoff: 2:1 True Odds: 31.58%
numbers 13 to 24: Payoff: 2:1 True Odds: 31.58%
numbers 25 to 36: Payoff: 2:1 True Odds: 31.58%
Any one number: Payoff: 35:1 True Odds: 2.63%
Two number combination: Payoff: 17:1 True Odds: 5.26%
Three number combination: Payoff: 11:1 True Odds: 7.89%
Four number combination: Payoff: 8:1 True Odds: 10.53%
Six number combination: Payoff: 5:1 True Odds: 15.79%
0,00,1,2,3 combination: Payoff: 6:1 True Odds: 13.16%

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