![]() ![]() What is the proper way to calculate this without simulation? import random Any other number may be rolled in between (as long as it is not a 7). ![]() Note that 666 does not need to be rolled in 3 consecutive rolls. Such sequences in the million sessions that I simulated. My initial thought was to just sum of the probabilities of the different ways to win. Simulation of a million sessions (python code included below) shows this goal is achieved 70 something percent of the time (73.226% with seed=0, 73.2705% with seed=1). This is doable in a few hours on a bubble craps machine. Betting stops if the goal is achieved before 500 rolls. ![]() I want to calculate the probability of winning 20 dollars starting with a bankroll of 100 dollars and playing a $6 place 6 always working for a maximum of 500 rolls. You can however specify that you want your bet always working. In craps a place bet is traditionally not working unless there is a point. ![]()
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