GAME & ENTERTAINMENT – GAMBLING & BETTING MATHEMATIC CALCULATOR
Parlay Ev
A precise tool.
What is the Parlay Ev & How does it work?
A parlay combines two or more individual wagers into a single bet, requiring all legs to win for the bettor to collect the payout. Because the odds of each leg multiply, parlays can offer dramatically larger returns, but the probability of success drops sharply. The expected value (EV) of a parlay quantifies its long‑term profitability. By multiplying each leg’s implied probability (1/odds) and the combined odds, we can calculate the net profit weighted by the chance of winning. Comparing the parlay’s EV with the sum of the EVs of the same selections placed as single bets reveals whether the added risk of a parlay is justified. A positive difference indicates a potentially advantageous parlay, while a negative gap suggests the single‑bet approach is more valuable.
EV_{parlay}=Stimesleft(prod_{i=1}^{n}O_itimesprod_{i=1}^{n}frac{1}{O_i}-1right)
S = stake, O_i = decimal odds of leg i
Parameters
Result
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Frequently Asked Questions
What is a parlay in betting?
A parlay is a single bet that combines two or more individual wagers. All selected outcomes must win for the bet to be successful.
How does the expected value (EV) of a parlay help me?
The EV helps you determine the long-term profitability of your parlay bet by considering the odds and implied probabilities of each leg.
Why is the probability of success lower in parlays?
The probability of success drops because you need all legs to win, and the combined odds make it harder for all outcomes to occur simultaneously.
How do I calculate the net profit of a parlay?
Multiply each leg's implied probability by the combined odds, then subtract 1 to get the net profit weighted by the chance of winning.
Can I use this calculator for more than two bets?
Yes, you can input multiple individual wagers to calculate the EV of a parlay with any number of legs.
What does 'implied probability' mean in betting?
Implied probability is the likelihood of an outcome occurring based on its odds. It's calculated by dividing 1 by the decimal odds.
How do parlays compare to individual bets?
Parlays offer larger potential payouts but require all selected outcomes to win, making them riskier than individual bets.
Results are for informational purposes only and do not constitute professional advice.