@mem - thanks for weighing in here.
The basics of wagering versus deposit still get confused by many players.
Your example explains this clearly but I would like to bring up a different game.
Slots
The house still has an edge but there is the chance for jackpot.
As a slots player the bonus extends your play on the machine.
The house edge remains the same but your chance to hit a jackpot increases.
This is obviously a different example to single payout games like blackjack and a different player as well.
Hrmm not sure I follow you, the chance to collect an active jackpot (some sites gaol the jackpot until certain conditions are met) is always the same.
The average payout when including the jackpot grows with the jackpot.
Slots are really no different at all to a roulette game, except roulette rarely (satoshiroulette runs jackpots) have jackpots.
Best to stay on topic for coinhulk's thread though, I just wanted to point out that deposit bonuses are all to often a trap and not a bonus.
eg in 88roulette example, when all is said an done your playing against a house edge of 8% which is far higher than even an american roulette table and definitely higher than a euro table.
Sometimes there are legitimate bonuses, but you really need to run the maths first to ensure your not about to trap your BTC.