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Originally posted by: snidely333
A team forms to play these progressive game. 12 team members show up to play 10 machines. 10 will play, and 2 will be back up for toilet breaks (the team plans to play until the BIG RF is hit) but only 9 seats are available. MoneyLA is sitting there playing and he's not leaving until the BIG RF hits. Does the team now calculate their chance to get the BIG RF is now 90% whereas if they had all the seats, it would have been 100%? Doesn't this reduction is probability they hit the BIG RF affect their EV?
Yes, it does... in your imagination, which is the only place the scenario exists. In the more likely scenario of one player on one machine, or two players on two machines, a player does not become better off when the other leaves to take a crap (except for the fact that the guy left to do his biz, rather than doing it right there.)
If you actually do this long enough, instead of just theorizing, you will eventually understand it doesn't matter. Likewise, the actual probability of a coin flip doesn't matter. It just takes some folks longer than others to figure that out.
If Money joins that team, and plays a reasonably equivalent game, the team's variance goes down, but its expectation doesn't increase.