jackpotcity
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- Joined
- Nov 28, 2018
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I have a mathematical problem that I am trying to solve but are not sure how to do it. It is quite complex but I will try to describe the exact problem. The last 5 lines in this description of the problem is what the question of the problem boils down to.
This image shows the statistics that is needed for the problem:
Description of mathematical problem: 1. On average we want to invest 100 dollar in Total through all betlevels. This can mean that we sometimes invest 150 in total and sometimes only 50. But on average this will be about 100 over time (Law of Large Numbers)
Example 2) On average bet 33.33 on level 2. 36.33 on level 3. 30.33 on level 4 which gives: 185.07 in Total Profit. (Nothing on level 1 as it has Avg% -0.15%)
This shows that example 2 is a more OPTIMAL way to invest. Remember we want in our Equation on average invest 100 through betlevel 1-4.
The problem boils down to this Question: We need to invest a sum on RANDOM on EACH betlevel using some kind of equation using the statistics to reach the OPTIMAL Total Profit Result over time. (Law of Large Numbers). My question is how this equation RANDOM function/equation will look like and how/what dollar amount we will invest on each level? (I think the green fields in the above image are the important information but feel free to use the other information too)
Many Thanks!
This image shows the statistics that is needed for the problem:
Description of mathematical problem: 1. On average we want to invest 100 dollar in Total through all betlevels. This can mean that we sometimes invest 150 in total and sometimes only 50. But on average this will be about 100 over time (Law of Large Numbers)
- A person will make bets on a table. EACH bet have a sequence of 1-4 bets (which are the betlevels 1-4). The trick is that sometimes the sequence will only be betlevel 1 sometimes it will be 1 and 2, sometimes 1,2,3 and sometimes all 4. We never know beforehand! As we can see 1372 of Total 3430 bets will Stop on level 1. 1029 of the bets will Reach betlevel 2 and will then bet on BOTH level 1 and level 2. This is how the logic goes down to betlevel 4.
- Now comes the problem. What is the OPTIMAL way(I stress OPTIMAL) to invest through the 4 betlevels. I have made 2 theoretical examples(see above image) where I take as an example for level 2: (33.33 x 1029 bets x 0.23% = 64.02 profit)
Example 2) On average bet 33.33 on level 2. 36.33 on level 3. 30.33 on level 4 which gives: 185.07 in Total Profit. (Nothing on level 1 as it has Avg% -0.15%)
This shows that example 2 is a more OPTIMAL way to invest. Remember we want in our Equation on average invest 100 through betlevel 1-4.
The problem boils down to this Question: We need to invest a sum on RANDOM on EACH betlevel using some kind of equation using the statistics to reach the OPTIMAL Total Profit Result over time. (Law of Large Numbers). My question is how this equation RANDOM function/equation will look like and how/what dollar amount we will invest on each level? (I think the green fields in the above image are the important information but feel free to use the other information too)
Many Thanks!