RoR Formula given EV and SD

Does anyone have a formula that calculates RoR given SD/hand, EV/hand, and bankroll size?

I found Wong's formulas but they all include other variables such as overhead or with drawl from the bankroll.
RoR = exp ( - [ u/s ]^2 *B / [ 2 * F ] )
u = EV/hand
s= SD/hand
B = Bankroll
F= Overhead/hand <-- don't need this one.


Thanks

Wouldn't it just be zero then.
Everyone has overhead though. If you travel to the casino to play 500 hands of blackjack your vehicle costs say .50 cents a mile to drive and you travel 20 miles that is $10, throw out $5 in tips, and get a snack $5. Your over head per hand is $ .04.

Can't do 0 since then you'd be dividing by 0.

My teammate and I keep overhead separate from our bankroll since we don't rely on gambling as our primary source of income.

Quote: Donuts

Does anyone have a formula that calculates RoR given SD/hand, EV/hand, and bankroll size?

I found Wong's formulas but they all include other variables such as overhead or with drawl from the bankroll.
RoR = exp ( - [ u/s ]^2 *B / [ 2 * F ] )
u = EV/hand
s= SD/hand
B = Bankroll
F= Overhead/hand <-- don't need this one.


Thanks

Ignoring withdrawals and expenses, one can derive this approximation for the risk of ruin:
RoR = exp ( - 2 * u * B / s^2 ).

By the way, in the above formula B is the bankroll in dollars divided by the bet size in dollars.

This formula agrees with equation (3) on this page of bj21.com.