casino whoring question from a n00b

[Freakin]

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I must be missing something about how this works. Any game is played at x% HA. How does bet size change this?

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use the search feature. There have been countless threads about it. In short, betting bigger allows you to bust out more decreasing the amount of -EV wagers that you have to place.

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Yes, we all seem to know this is true. Although no one actually seems able to prove that this is true.

But there's something in the 2+2 archives that proves that this is true. Although nobody actually seems able to produce this smoking gun.

But we all know it's true.

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it's not that complicated.

Lets say you start off a bonus by betting your whole balance on a 50/50 game. You will bust out 50% of the time.

You do a 100/100/2000 bonus 10 times

Your total wagers if you never busted out would be 20000.

Your expected loss from BJ would be about $100 (20000*.005)

If you bust out half the time after betting your whole balance on a 50/50 game, your total wagers would be 11000 (5*2000)+(5*200)

Your expected losses from 11000 of blackjack is $55 (11000*.005).

You saved $45 in EV by betting larger and decreasing your total average WR

[ebull]

Say you bet $1 / hand and bust 30% of time. Rest of time you make expected $99. 7 x 99 = $693 less $300 equals $393.

Betting whole balance means 50% bust and wins 5 x $99. 5x $99 = $495 less $500 equals -$5.

What am I missing? Assume wins of $150 / casino on non-bust hands and $250 in net profit. Looks like small bets and lower risk of ruin increases overall money netted from the bonuses (bonii??)