Betting calculators · opens pre-filled from any arb row
Arbitrage & Hedge Bet Calculator
Enter the odds on each side of a market and how much you are putting on the first bet. The calculator tells you exactly what to bet on the other side so you profit no matter what happens — or, in hedge mode, what to bet now to lock in a result on a bet you already placed.
Arbitrage — both bets placed now
Hedge a bet I already placed
Inputs
ODDS FORMAT
American
Decimal
Fractional
OUTCOMES
2-way
3-way
Bet 1
the side you size from
ODDS
implied 47.6%
SPORTSBOOK
WAGER ON BET 1 ($)
OR TOTAL STAKE TO SPLIT ($)
Bet 2
opposite side, exact same line
ODDS
implied 50.0%
SPORTSBOOK
ROUND STAKES TO
Cent
$1
$5
$10
BET 1 IS A BONUS / FREE BET
No
Yes
Arbitrage mode: both bets are placed now. Bet 1 is the side you size from; the calculator sizes every other outcome so each pays the same.
TOTAL STAKE
$1,000.00
across 2 bets
PAYOUT IF BET 1 WINS
$1,024.80
each side pays about the same
PROFIT
+$24.00
2.40% of total stake after rounding · worst case
VERDICT
Arbitrage of 2.44% — the implied probabilities sum to 97.62%, under 100%, so these prices lock a profit between $24.00 and $24.80 after rounding, whichever outcome lands.
OUTCOME
WAGER
ODDS
PAYOUT
NET IF IT WINS
Bet 1 wins
DraftKings · implied 47.6%
$488.00
+110
$1,024.80
+$24.80
Bet 2 wins
Caesars · implied 50.0%
$512.00
+100
$1,024.00
+$24.00
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The math behind it
decimal odds
d1 = 2.100 · d2 = 2.000 (+odds: 1 + odds ÷ 100 · −odds: 1 + 100 ÷ |odds|)
sum of implied
S = 0.4762 + 0.5000 = 0.9762 → under 1, arb exists
payout target
s₁ × d₁ = $488.00 × 2.100 = $1,024.80
other stakes
s2 = payout ÷ d2 = $512.40 → rounded to $512.00
profit
payout − total staked = $1,024.80 − $1,000.00 = $24.80 · arbitrage % = (1 ÷ S − 1) × 100 = 2.44%