Method
How an accumulator probability is calculated
If each leg succeeds independently with probability pi, the probability that all n legs succeed is their product: p1 × p2 × … × pn. Four 60% legs, for example, produce 0.64 = 12.96%. That is a disclosed arithmetic illustration, not a match forecast.
“Exactly k” requires more than multiplying the k largest inputs because every combination of k successes and n − k failures matters. The calculator starts with D(0) = 1 and updates the probability mass from high k to low k for each leg. This dynamic programme computes the complete Poisson-binomial distribution without enumerating 2nwin/loss combinations.
- All correct: ∏ pi
- Exactly k: D(k) after all legs are processed
- At least k: D(k) + D(k + 1) + … + D(n)
- Fair decimal odds: 1 ÷ event probability
Nigeria search intent
Accumulator probability versus a booking code
A Nigeria accumulator or booking-code search often starts with an operator-specific slip identifier. That code is not itself a probability and cannot reveal whether the selections are well calibrated. This tool therefore does not accept, decode or retrieve booking codes.
Enter one probability per leg from a source whose method and timing you can inspect. If you only have a complete bookmaker market, first use the football odds implied-probability calculator to separate raw implied weights from a stated no-vig method. Do not copy decimal odds directly into a percentage field.
Same-match selections, shared teams, competition context and common news can create dependence. A product of probabilities may then be too high or too low.
Kenya search intent
Kenya jackpot probability: exactly k is not at least k
Jackpot questions are often about a correct-count tier rather than every selection winning. “Exactly 12 of 15” excludes 13, 14 and 15; “at least 12 of 15” includes all four counts. The table keeps those events separate and displays a fair-odds reciprocal for each one.
Search phrases may include SportPesa or Betika. Those names are used here only to clarify the reader's query. Football Proof AI is not affiliated with, endorsed by or connected to either operator, and this calculator does not reproduce their current rules, prize tiers, booking systems or settlement decisions.
Useful only when the question names a single exact tier.
Includes k and every larger correct-count result.
Quoted price
What the offered-odds comparison means
Quoted combined decimal odds O imply the raw probability 1 ÷ O. The calculator subtracts the independent all-win probability and also reports the relative difference (1 ÷ O) ÷ P(all) − 1. A positive value means the quoted price carries more implied probability than this user-entered scenario; a negative value means less.
This is not the conventional overround of a complete market. Measuring market overround requires all mutually exclusive prices in that market. One combined price also cannot prove an edge because the entered probabilities may be wrong, dependent or measured at a different time.
Scope and limits
What is deliberately outside this calculator
- It does not generate selections, predictions, booking codes or jackpot entries.
- It does not model same-game or cross-leg correlation.
- It does not apply stake, payout, tax, bonus, boost, void, push, dead-heat or maximum-return rules.
- It does not verify that a probability was available before kick-off or is calibrated on held-out matches.
- Fair odds are mathematical reciprocals, not offered prices, value claims or recommendations.
A precisely computed answer can still be a poor estimate of reality when the input probabilities or independence assumption are poor. Read the responsible-use boundary before acting on football probabilities.
FAQ
Accumulator and jackpot probability questions
Can this calculator read a Nigeria accumulator booking code?
No. A booking code identifies a saved selection with a particular operator; it does not disclose a trustworthy probability for each leg. Enter separately sourced leg probabilities instead. This calculator does not retrieve slips or operator accounts.
How do I calculate exactly k correct for a Kenya jackpot?
Enter one probability for each jackpot selection. The table reports every exactly-k result and each at-least-k tail. It does not know an operator's current prize tiers, settlement rules or jackpot terms.
Is multiplying the leg probabilities always valid?
Only when independence is a reasonable scenario assumption. Legs tied to the same match, team, competition, news event or market can be dependent. Multiplying them without modelling that dependence can overstate or understate the true joint probability.
Do fair decimal odds show a profitable or recommended bet?
No. Fair odds here are simply 1 divided by the calculated event probability. They contain no bookmaker margin, tax, bonus, liquidity, model uncertainty, stake advice or assurance that your input probabilities are accurate.
Research trail
Formula source and next checks
The cited method concerns computation for sums of independent Bernoulli trials. It does not establish that football legs are independent or validate any user-supplied probability.
