EV Simulated Trading

Prompt

Phase one: Lets do some maths trading prop firms based on EV and variance. Lets say i buy a 50k prop firm account and i need to make 53k before hitting the max drawdown of 48k. I buy 40 accounts (trading 2-3 together) i trade 5-8 times per day to try to at least cylce through all 40 accounts. Lets say my edge in the market(strategy) is about 50+% and i aim to always use a 1.5 RR risking 500 to gain 750. In prop challenge phases i trade aggresive so i trade 500-600 per trade(remember i trade 2-3 acount togther like copy trade ) then rinse and repeat until i at least trade all 40 accounts. Then when i move to the funded stage i aim to get 54k so i can withdraw the max which is 2k since the 4k i can only withdraw half thats why the max per single account i can take out is 2k. But in the funded stage i am more careful because now my aim isnt to pass the funded but to get a payout so i risk about 300-400 per trade still copy trade 2-3 accounts per trade and cycling accounts. now the maths i need is for you to run a simulation, because of variance obviously i wont pass all 40 account but run a simulation, how many do i pass, how many do i lose then in the funded stage out of the passed accounts how many actually get to me taking the full 2k per account and how many gets breached. and also how long did each stage take run the simulation as many times as you can and show me the maths Also something i am playing with is targeting points based on how much points an account needs to hit its target and adjusting my contract size to match(not sure i explained it well but will give more details later) Phase two: i will give you more information and i want you to run several simulations with slightly different tweaks you come up with yourself, the goal is to get funded and payouts as quickly as possible but still getting a good amount of money back at least double what we spent on evals lets say each account cost 100 dollars and we bouught 40 of them. Now in terms of drawdown from now on use only EOD drawdown and then for consistency rule (for the funded use a 40% and for evals use non) I want you to act as a quant and give me tweaks to find the optimal way to trade those accounts also remembering timing as well. So if i copy trade 2 account vs 3 whats the difference or more account copy traded or less ) or maybe even trading each one with copy trading. Then things like increasing risk from 500 to 700 or even 1000 just play with the numbers to find the optimal amount in both the evals and funded stage. So think like you are trying to figure out the best way. Then for payouts do a 90/10 split> Please run as many simulations as you can and show me visuals if possible. Remember as much as i want speed i also want payouts so maybe show what happens if you go for more speed, how it will affect your EV(payouts) then vise versa and the sweet spot etc Just be extremely detailed