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Showing posts with the label Implied Probability

Parlay Math at minus 110: How the Vig Compounds From 4.55% on One Leg to 37.20% on Ten

A single bet at minus 110 on a coin flip line costs 4.55% of the stake in expected value. Put two of those bets into a parlay and the cost is 8.88%. Four legs, 16.98%. Ten legs, 37.20%. The vig does not stay at one leg's worth when bets are combined. It compounds, and the reason is the same multiplication that makes the payout look attractive. The concept A parlay pays only if every leg wins. In exchange, its price is the product of the individual prices. At true odds pricing, which many US sportsbooks use for standard parlays, a two leg parlay at minus 110 and minus 110 pays the decimal price of one leg multiplied by the other. The vig is built into each of those decimal prices. Multiplying the prices multiplies the vig along with them. The formula Convert each leg to decimal first. For a negative American price: decimal = 1 + 100 / |American price| At minus 110, that is 1 + 100/110 = 1.9091. For a parlay of n legs at the same price, the parlay's decimal price is 1.90...

Break Even Win Rate: Why a .500 Record Loses Money at −110, and What Every Price Demands

At −110, a bettor has to win 52.38% of bets just to finish level. Win exactly half, and a run of 100 such bets at $110 each ends $500 down, even though the record reads 50 wins and 50 losses. That 52.38% is the break even win rate, and it is simply the implied probability of the price read from the bettor's side. This piece shows how to calculate it for any line and why a .500 record is a losing record at standard prices. Concept: the price sets the bar Every price a sportsbook posts implies a probability. Read from the book's side, that number feeds the vig calculation. Read from the bettor's side, the same number answers a more personal question: how often would a bet at this price need to win for the money to come out even over many repetitions? The two readings are identical. The implied probability of a −110 line is 52.38%, and the break even win rate of a −110 bet is 52.38%. Nothing extra has to be calculated. What changes is how the number is used. Formula For ...