, the probability of hitting is 100%. We use this boundary condition to calculate the "Expected Value" (EV) of firing at tn−1t sub n minus 1 end-sub
, which represents the probability of hitting a target at time goes from 0 to 1). To find the optimal time to fire ( t*t raised to the * power , the probability of hitting is 100%
A(t)=∫at1P(x)dxcap A open paren t close paren equals integral from a to t of the fraction with numerator 1 and denominator cap P open paren x close paren end-fraction d x The goal is to find the lower bound , the probability of hitting is 100%