Interactive draw math

See where every chance comes from.

Adjust one position and follow it through candidate selection, payout coverage, and bankroll risk. All values are illustrative test ETH.

Profit chance
10.00%
your position
Final payout
10 ETH
aggregate stake floor
Player EV
0 ETH
per draw
Actual edge
0.00%
pari-mutuel economics
Live result

Your route to a payout

Aggregate stake sets payout
Chance of net profit10.00%about 1 in 10 draws
Position profits10.00%
No payout90.00%
01 · Candidate10.00%

Your stake-weighted interval is selected.

s ÷ A
02 · Coverage100.00%

The payout-coverage gate passes.

A ÷ P
03 · Bankroll risk100.00%

The bankroll-risk gate passes.

1 − G ÷ B

10.00% × 100.00% × 100.00% = 10.00% win chance

If you win+9 ETHnet profit after stake
If you lose-1 ETH90.00% of draws
Your expected result0 ETHwin chance × payout − stake
Expected bankroll gain0 ETHthe other side of this position
Fixed when you bets · T · EStake, payout target, edge cap
Changes until targetOther stakes · BRound activity and bankroll investment
Known at settlementP · Pr(win)Final payout and win chance
Filled-in formulas

From requested payout to expected value

The contract computes in wei and floors integer divisions. This teaching view uses decimal ETH, so only sub-wei rounding is omitted.

1 · Round totalA = s + other stakes10 = 1 + 9 ETH
2 · Payout gapG = min(max(A,T) − A, B × E)0 = min(0, 50) ETH
3 · Final payoutP = A + G10 = 10 + 0 ETH
4 · Position winsPr(win) = s/A × A/P × (1 − G/B)10.00% = 10% × 100% × 100%
5 · Actual edgee = G ÷ B0% = 0 ÷ 100
6 · Player EVEV = Pr(win) × P − s = −s × e0 = 10.00% × 10 − 1 ETH
The cap protects the player

If the requested gap needs more edge than allowed, G shrinks and the payout falls. The actual edge never exceeds the stored maximum.

Zero bankroll becomes pari-mutuel

With B = 0, the payout equals aggregate stake, the risk gate passes automatically, and expected edge is zero.

This is one position’s exact model

Other positions can choose different targets and caps. A whole round’s bankroller profit probability needs every position’s terms; the expected bankroll gain shown here is this position’s contribution.