Interactive probability model

Gambler’s Ruin Model

Follow hundreds of players round by round. Each gamble can be perfectly fair, yet finite wealth and an absorbing boundary at zero make bankruptcy accumulate through time.

At p = 0.50: E[ΔW] = 0, but W = 0 is absorbing
Current round
0 / 400
Survivors
1,000
Bankrupt players
0
Mean wealth · survivors
$100.00
Median wealth · everyone
$100.00

Survival through time

The survival rate can decline even when every individual round has zero expected value.

Current wealth distribution

Bankrupt players accumulate at zero; the upper 1% is clipped.

Ready: Press Start to watch the absorbing boundary change the population.