Input Parameters

Analysis Results

Estimated Win Probability (p̂)
50.0%
Estimated EV per Bet
$0.00
Standard Error (SE)
0.000

Confidence Intervals

95% Confidence Interval
47.0% - 53.0%
99% Confidence Interval
46.0% - 54.0%

1. Estimate EV

Let:
 p = chance to win
 q = 1 - p = chance to lose
 n = number of bets (if n < 100, discard the sample)
 r = result (net profit/loss)

Assume each bet is $1:
Win: +$1
Lose: -$1

EV per bet = (1 × p) + (-1 × q) = p - q = p - (1 - p) = 2p - 1


2. Estimate EV Probability (Central Limit Theorem)

Let:
 wr = winrate
 lr = looserate = 1 - wr
 b = number of bets

Standard Error (SE):
SE = sqrt( p(1 - p) / b ) ≈ sqrt(wr × lr / b)

Or if b = 100:
SE = sqrt(wr × lr / 100)

*Though bet, winning and loosing must be equal to work well with eqution, if u bet 5, chance to win 15