When to leave in UNITS: Math or Preserved Luck

[Ultramood]

I know Blackjack as an AP in one long marathon session. Every game spits out different outcomes. It is not as simple as if I'm up $500 I'm going to head home. And repeat this game plan process tomorrow. In this scenario; if it takes you between 2-3 hours to get to the casino from your home. (Total of 4-6 hours there and back)

Q: How many UNITS do you win in order for you to decided it's time to go home?
- Is there an optimum win unit amount? (20 units = $500) or
- Maybe an optimal unit amount in terms of hours/win% ratio? Winning $1,000 (40 units) in 4 hours at a probability of 72.47%. (So if I win 40 units, I leave. Regardless if it took me 10 minutes or 10 hours. 72% in 4 hours sounds like a good threshold. - Achievable and reasonable) or
- Is there a mathematical calculation using standard deviation to determine the optimal total of units to be won with a certain bet spread?


To give you a sample visual. Below is a sim that I did on CVCX to display the bet spread, goals - odds of making goals by hour, SD, Expected Results, and probability %.


Bet Spread: $25-$400 (16-1), $50.67/hour
Standard Deviation Hour: $1,318 / Expected Results: 8 hours, Probability 99.7% = $-10,700 to +$11,500

To win $1,000 (40 units) in:
4 hours = 72.47%
8 hours = 81.09%
16 hours = 87.33%

To win $2,000 (80 units) in:
4 hours = 47.43%
8 hours = 62.59%
16 hours = 74.45%

To win $3,000 (120 units) in:
4 hours = 27.79%
8 hours = 45.82%
16 hours = 61.88%