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In statistics, this is called odds against. For instance, with a royal flush, there are 4 ways to draw one, and 2,598,956 ways to draw something else, so the odds against drawing a royal flush are 2,598,956 : 4, or 649,739 : 1. The formula for establishing the odds can also be stated as (1/p) - 1 : 1, where p is the aforementioned probability.
odds of winning the Jackpot (matching the 6 main numbers from 59) in the UK National Lottery with one ticket since 10 October 2015 7.151×10 −8: odds of winning the Jackpot (matching the 6 main numbers from 49) in the UK National Lottery with one ticket until 10 October 2015 10 −7: 1.17×10 −7: Death per aircraft journey [10] 2.9×10 −7
Mathematics – Lottery: The odds of winning any prize in the UK National Lottery, with a single ticket, under the rules as of 2003, are 54 to 1 against, for a probability of about 0.018 (1.8%). Mathematics – Poker: The odds of being dealt a three of a kind in poker are 46 to 1 against, for a probability of 0.021 (2.1%).
Another variation is "six card bonus", in which the players are given a payout based on the best five-card poker hand that can be made using any combination of the player's three cards and the dealer's three cards. Payoff ranges from 5 to 1 for three of a kind to 1000 to 1 for royal flush. Payoffs are paid regardless of whether any other bets pay.
For example, in the hand 10♠ 9♠ (Wild) 7♠ 6♠, it becomes the 8♠, and in the hand (Wild) Q♦ J♦ 10♦ 9♦, it plays as the K♦ (even though the 8♦ would also make a straight flush). Four of a kind : Between two equal sets of four of a kind (possible in wild card and community card poker games or with multiple or extended decks ...
Three of a kind, also known as trips or a set, is a hand that contains three cards of one rank and two cards of two other ranks (the kickers), such as 2 ♦ 2 ♠ 2 ♣ K ♠ 6 ♥ ("three of a kind, twos" or "trip twos" or a "set of twos"). It ranks below a straight and above two pair. [5]
Finally, after being put up against the Banker, Luke turned down an offer with a 66.6 percent chance of success, and instead ended up being eliminated while only adding a measly $1 to the prize pot.
For a score of n (for example, if 3 choices match three of the 6 balls drawn, then n = 3), () describes the odds of selecting n winning numbers from the 6 winning numbers. This means that there are 6 - n losing numbers, which are chosen from the 43 losing numbers in ( 43 6 − n ) {\displaystyle {43 \choose 6-n}} ways.