Basic Bankroll Management Math: An Instructive Example

[tyrn]

Can you explain why the EV in the second scenario is not the sum of the EV of each of the rolls and thus the same as the first scenario? ie 47.2 + 47.2 = 94.4

[spoonitnow]

Can you explain why the EV in the second scenario is not the sum of the EV of each of the rolls and thus the same as the first scenario? ie 47.2 + 47.2 = 94.4

Because I suck at typing.

Nice, clear example illustrating the sense in employing some sort of bankroll management strategy.

Just to be clear, what is the negative effect here, exactly? It seems like the total expected value of the two half-sized bets is the same as the EV of the full-sized bet (though maybe I am missing some mathematical detail), so the only negative element I can think of is the time it takes to put your bankroll in action, in making/resolving the wagers.

Because if your EV was the same, in two rolls we could make twice as much. Like if you were playing 1/2 instead of 2/4, it would take you twice as many hands to make the same amount of money if you had the same bet/100 hands win-rate.