Get BJ two times in a row

Win a hand with 5 cards or more

Win 4 hands in a row

Recieve a hand with 777

Get 3 Aces or more in a hand

The deck is 8 shoes with 0.71% house edge (no DAS, no re-splitting, dealer peeks on A not 10, 3:2).

The prizes are these:

1 completed objective - Nothing

2 completed objectives - 25

3 completed objectives - 50

4 completed objectives - 100

5 completed objectives - 500

Min bet is 5.

Is there any positive expectation in any of it? Should all 5 be aimed at or stop somewhere in the middle?

Without doing the maths, I'd strongly suggest that this is not +EVQuote:Sm0keyHi folks. There is a casino promotion running that gives you points for clearing different objectives:

Get BJ two times in a row

Win a hand with 5 cards or more

Win 4 hands in a row

Recieve a hand with 777

Get 3 Aces or more in a hand

The deck is 8 shoes with 0.71% house edge (no DAS, no re-splitting, dealer peeks on A not 10, 3:2).

The prizes are these:

1 completed objective - Nothing

2 completed objectives - 25

3 completed objectives - 50

4 completed objectives - 100

5 completed objectives - 500

Min bet is 5.

Is there any positive expectation in any of it? Should all 5 be aimed at or stop somewhere in the middle?

Each of those objectives is pretty improbable... Rather a lot really. and the scale of rewards for achieving them is truly abysmal to see 5 completed objectives in a session would probably take wayyy over 24 hours of continual play, each hand grinding down your bankroll relentlessly.

Also, it sounds like an online game with those rules. Do you trust the casino... And do they have any stupid wagering requirements on the bonus wins? That would be serious insult to injury.

I'll agree with one thing (intuitively) the 500 is the prize to aspire to. But the amount of play to reach that goal would be massive and I'd be confident that you will have wasted 500 of bankroll way before getting there.Quote:Sm0keyNo there are no wagering requirements and yes i trust them. The jump from 4 to 5 completed looks like one of those progressive jackpot/royal flush video poker type of things so i was thinking maybe it's value as long as you keep playing until you finish.

It hardly matters, but is it 500 + all the other lower tiers collected along the way, or just 500?

2 obj - 704

3 obj - 1,408

4 obj - 2,816

5 obj - 14,084

If the cycle is less than that for that number of objectives, assuming you're playing 5E hands (my American computer doesn't do Euro symbols*), then it's going to be +EV.

Hitting 2 BJ's in a row is about 1 in 446. (1/((4/13)*(1/13)*2))^2

Not sure about winning with 5 cards or more....although in my experience, that's going to be pretty low....probably the easiest one on there. Not sure about three Aces nor 777. Side question (not that it'd help me), does it need to be exactly 777? What if you get 7-2-7-7?

Winning 4 hands in a row, excluding pushes, should be about 0.48^4 = 1 in 18.83.

You should, at bear minimum, have +EV if you just go for the "win 4-in-a-row" and "win a 5+ card hand" and collect the 25E bonus. Not sure about the others. I'd bet each of those objectives is going to be +EV. As far as if it's worth it and the time spent on it, that's for you personally to decide.

What is a cycle and how do i know if it's less or more?

It has to be 777 as i understand it.

What do you approximate my EV at for 2 completed objectives? I want to maximize my value irrespective of time spent.

Quote:Sm0key

What do you approximate my EV at for 2 completed objectives? I want to maximize my value irrespective of time spent.

I believe hitting two of the objectives and quitting would be +EV. Winning four hands in a row is very common. Winning a hand with five cards is not hard if that is the objective and you abandon basic strategy.

I would play basic strategy until I won four in a row and then adjust strategy to get a five card winner. I have no idea how to do the math but it definitely seems positive to me.

Quote:DRichI believe hitting two of the objectives and quitting would be +EV. Winning four hands in a row is very common. Winning a hand with five cards is not hard if that is the objective and you abandon basic strategy.

I would play basic strategy until I won four in a row and then adjust strategy to get a five card winner. I have no idea how to do the math but it definitely seems positive to me.

How would you go about getting a 5 card win?

Follow BS with the five card Charlie rules.Quote:Sm0keyHow would you go about getting a 5 card win?

So the bonuses are tiered. I've assumed that you can get multiple occurrences of one of those events and that will still count?Quote:Sm0key@OnceDear The wins do not accumulate no

What is a cycle and how do i know if it's less or more?

It has to be 777 as i understand it.

What do you approximate my EV at for 2 completed objectives? I want to maximize my value irrespective of time spent.

I can't be bothered to calculate the EV. I guessed it doesn't have +EV but maybe it does. Romes seems to figure it does and I wouldn't argue maths with him. I can't see it being of much value though.