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Expected Values and variance in bookmaker payouts: A Theoretical i numeri piu' frequenti al gioco del lotto Approach towards setting limits on odds.
Chiaro, completo, aggiornato, facile da trovare, come possiamo migliorarlo?100 treble with winners at 3-1, 4-6 and 11-4; total staked 100 Returns 100 (3/1 1) (4/6 1) (11/4 1) 2500 Accumulator 11.g."Carnap and de Finetti on Bets and the Probability of Singular Events: The Dutch Book Argument Reconsidered" Klaus Heilig, The British Journal for the Philosophy of Science, volume 29, number."Why is There a Favourite-Longshot Bias in British Racetrack Betting Markets Leighton Vaughan Williams, David Paton.Returns (win fivefold) 100 (1/1 1) (11/8 1) (5/4 1) (1/2 1) (3/1 1) 6412.50 Returns (place fivefold) 100 (1/4 1) (11/40 1) (5/16 1) (1/2 1) (3/5 1) 502.03 Total returns 6914.53 Full-cover bets edit Trixie.g.To explain the concept in the most basic of situations an example consisting of a double made up of selecting the winner from each of two tennis matches will be looked at: In Match 1 between players A and B both players are assessed.The previously mentioned fourfold consisting of individual books of 120 (1.20) gives an overround.20.20.20.36.For example, only two winners out of three in a Trixie means the bet is settled as a double; only four winners out of five in a Canadian means it is settled as a Yankee ; only five winners out of eight in a Goliath.Non-runners are treated as winners with fractional odds of zero (decimal odds of 1).Together in the required manner and adding or subtracting additional components.10 Up and Down with a winner at 5-1 and a loser; total staked 20 Returns (10 single at 5-1 ATC 10 single on 'loser 10 5/1 50 Note: This calculation of a bet where the stake is not returned is called "receiving the odds.20 Up and Down with winners at 7-2 and 15-8; total staked 40 Returns (20 single at 7-2 ATC 20 single at 15-8) 20 7/2 20 (15/8 1) 127.50 Returns (20 single at 15-8 ATC 20 single at 7-2) 20 15/8 20 (7/2 1) 127.50.

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Mike Fletcher, Teaching Mathematics and its Applications, 1994, volume 13, number 4, pages 145147.