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Reason #2 why the Wizard likes Bodog:
No-hassle practice games
Most online casinos spend more effort trying to separate you from your money than they do trying to give you a good experience. They have all kinds of popup windows, they usually make you download their software, and if do they offer play-in-browser games then you have to register an account before you can play. And if you do register then they start sending you emails trying to get you to deposit real money.
But Bodog is different. They have no popup windows at all, and their practice games play right in your browser, with no download, and no registration required. You don't even have to give up your email address. It couldn't be simpler: Just one click and you're playing the game.
I wish all online casinos showed this much respect for their players. Other casinos practically ask for your first born child to play for free. Meanwhile Bodog is patient and does not twist anybody's arm to play for real money. You can play as long as you like for free with no obligation. The real-money games are available if that's your preference, but if not, you can play the free practice games for as long as you like without hassle. (Visit Bodog)
Try blackjack at Bodog. One click and you're in:
 No popups, no download, no registration, no B.S., just the game.
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August 25, 2003 Column
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Dear Mr. Wizard,
How do minimum payback laws affect video poker
machines? Can a casino have a VP machine installed if
an ideal strategy is not known? Can really stupid
players (ones who would discard a paying pair or even
a pat royal) sue a casino if their strategy results in
payoffs under x%, as mandated by state law? Finally,
out of curiosity, what is the lowest return possible
on a VP machine, assuming discarding royal flush,
keeping all 5 cards of a garbage hand, etc?
Thank you for your valuable time in reading and
hopefully responding. - D.S.M.
Nevada Gaming Control Board regulation 14.040.1(a) states that gaming devices must return at least 75% assuming optimal player strategy. To answer your second question I modified my video poker program to always make the worst possible play. For example, keeping all five cards on a non-paying hand , and tossing part or all of pat hands. Based on 9/6 Jacks or Better this strategy results in a return of 2.72%, or house edge of 97.28%. Following is the complete return table. Such a player would not be able to sue the casino because it was his fault for playing so badly.
| Jacks or Better - Worst Possible Player |
| Hand |
Payoff |
Number |
Probability |
Return |
| Royal flush | 800 | 48564 | 0.000000 | 0.000002 |
| Straight flush | 50 | 2058000 | 0.000000 | 0.000005 |
| 4 of a kind | 25 | 38040380 | 0.000002 | 0.000048 |
| Full house | 9 | 292922028 | 0.000015 | 0.000132 |
| Flush | 6 | 336550092 | 0.000017 | 0.000101 |
| Straight | 4 | 6239759724 | 0.000313 | 0.001252 |
| 3 of a kind | 3 | 12510891616 | 0.000628 | 0.001883 |
| Two pair | 2 | 34968642984 | 0.001754 | 0.003509 |
| Jacks or better | 1 | 334574728656 | 0.016785 | 0.016785 |
| Nothing | 0 | 19544266875156 | 0.980487 | 0.000000 |
| Total | | 19933230517200 | 1.000000 | 0.023717 |
Where I play pai gow poker the commission on a $25 bet is $1, or 4%. How much does this reduce the house edge?
A 4% commission lowers the house edge by 0.29%.
Hey dude I had a random question and I didn't know who else to ask!! I won 12000 on an online casino. Should I cash it all out at once? Do I have to do anything related to reporting it on my taxes? If I don't report it will I get in trouble? What would you do in this situation? Thanks for the help!!!
Whether to cash out it all out at once is your decision. Assuming you are a U.S. citizen you are obligated to declare the income on your next tax return. If you don't you could be charged with tax evasion. However this sort of thing is largely on the honor system. You are also allowed to deduct any gambling losses in the same year against your winnings.
Mr. Wizard, if 50 different people toss a coin in the air 8 different times. What percentage of the 50 people will toss 8 consecutive heads or tails? Thanking you in advance.
The probability of any given person tossing 8 heads or tails is 2*(1/2)8 = 1 in 128. If 50 people did this on average 0.39 of them will get all heads or tails. The probability of at least one person getting all heads or tails is 32.44%.
I recently went to Vegas and had an incredible hand of blackjack... received an ace as first card, split, received another ace, split, received a third ace, split, and got one last ace...
Then was dealt blackjack on all 4 hands! No lie! 2 of my friends were witnesses, as was the entire Luxor gaming gods...What are the odds on this? It was a 6 card deck shoe, I was sitting in #3 seat of a 4 person game. Assume a fresh shuffle?
Not too many places allow resplitting aces, so be glad you were playing somewhere that did. Your seat position does not matter. The probability of this is the probability that the first four cards out of the shoe are aces, and the next four are tens, or (combin(24,4)/combin(312,4))*(combin(96,4)/combin(308,4)) = 1 in 4,034,213.
If seven players each get seven cards, what is the probability at least one person will get a 7-card flush?
The probability of a single player getting a 7-card flush is 4*combin(13,7)/combin(52,7) = 1 in 19491. The probability of at least one player out of 7 getting a 7-card flush is about 1 in 2785.
Could you tell me the odds when holding 3 and drawing 2 to a Royal Flush ? My wife and I will often throw away a high pair to draw 2 to a royal. THANKS, Ron
The probability is 1/combin(47,2) = 1 in 1081. In every game I have studied a high pair is a stronger hand than 3 to a royal, except in the game Chase the Royal.
I play at a local casino that offers a 6 deck, h17, DAS, DOA game. However, they pay 2-1 on a suited blackjack. How much does that reduce the house edge? How would you figure this out mathematically?
The probability of a suited blackjack in a 6-deck game is number of suits * number of aces of given suit * number of tens of given suit / number of 2-card combinations out of 312 = 4*6*24/combin(312,2) = 576/48516 = 1.19%. I assume a blackjack tie is a push, so the probability of a suited blackjack, when the dealer does not have a blackjack is 1.13%. Getting an extra half unit 1.13% of the time cuts the house edge by 0.57%. In this case the house edge goes from 0.62% to 0.05%!
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