I'm looking for mathematics around such game:
Two games:
50%, max bet: 155000, price x1.96
0.0015%, max bet: 5, price x64224.3
Let, I will place 155,000 for 50% and win only 303,800. Or place 31000 other bids with only 5 coins in each for 0.0015%, and win 321,121, What is probability?
Each game may give me coins. E.g. I can win every 31,000, my win will be 9,954,766,500.0 (Oh, my god 9 billions)
Or only 2 games from 31,000 and win 642243.0 ( Twice more than first variant ).
What is the probabilities for multiple games? Should I sum it or should I calculate anything else?
If I understand the rules correctly, the first game on average returns $\frac 12 \cdot 1.96+ \frac 12 \cdot 0.01 =0.985$ of your bet, so on average you lose $1.5\%$ of your bet. The second returns $1.5 \cdot 10^{-5} \cdot 64224.3 \approx 96.3\%$ of your bet. Both are losing propositions.