Radica VIDEO POKER Royal Flush 2000 Electronic Handheld Game Model 410 Works! $15.95 + $5.80 shipping. Vintage NOS Radica Video Poker 410 Electronic Handheld Game New. $12.00 + shipping. Picture Information. Opens image gallery. Image not available. Mouse over to Zoom- Click to enlarge. Move over photo to zoom. Four royal flush - 1.5% Five Royal Flush - 0.3% Six or more royal flush - 0.1% As you can see, the chance to become the owner of one or more royal flush in forty thousand hands 63.2%, which, in general, not so little.

Extras muddle the picture

By John Grochowski

Evaluating a video poker machine is usually pretty straightforward. A 9-6 Jacks or Better machine where full houses pay 9-for-1 and flushes 6-for-1, will return more to players than an 8-5 machine. A 10-7-5 Double Bonus Poker game, where full houses pay 10-for-1, flushes 7-for-1 and straights 5-for-1, is a much better gamble than a 9-6-4 version of the same game.

Your mileage may vary in any one session, of course. Losing streaks happen on the best of games, and a big hand or two can make you a winner on a coin gobbler. But over a long time, the odds of the games will lead those with better pay tables to return more money to players.

It gets trickier when extra elements are added, such as progressive jackpots and sequential royals. Can a game that’s lower-paying on its surface become the better bet if a progressive jackpot gets large enough?

Of course it can. Let’s take a simple example, a 9-6 Double Double Bonus Poker machine with no progressive jackpot vs. a 9-5 DDB machine with a progressive pay on royal flushes. At the starting value of a 4,000-coin jackpot for a five-coin wager, the 9-6 machine returns 98.98 percent with expert play, while the 9-5 machine pays 97.87 percent.

To get to a 98.98 percent return, the progressive royal on the 9-5 DDB machine needs to reach 6,026 coins. That’s pretty normal. A reasonable rule of thumb for Jacks or Better-based video poker games is that every 2,000-coin increase in a royal flush progressive raises the overall payback percentage by about one percent. At that point, long-term returns on 9-6 and 9-5 DDB are about the same, though the 9-5 game will be a more volatile experience with more of its return in the top jackpot and less in the more common full houses.

That’s simple enough, but the situation gets muddier when extra elements are added. A reader emailed to ask about a couple of Double Double Bonus games he’d seen in the same casino.

“I play dollar Double Double Bonus Poker at a casino that has it two pretty interesting ways,” he wrote. “It has 9-6 DDB with three progressives, on the royal, aces with kicker, and aces without kicker. It also has 9-5 DDB with just one progressive on the royal, but it has a $50,000 jackpot for a sequential royal. Is it worth giving up a unit on the flush and the ace progressives to get the sequential royal?”

With that many extras in play, there are a number of things to be weighed. How far above the rollover values of 4,000 coins on the royals are the two progressives? Are the other jackpots on the 9-6 game far above the usual 800 coins on four aces and 2,000 on four aces plus a 2, 3 or 4 as the fifth card? And what about that sequential royal, anyway?

The one with the smallest effect is the sequential royal, with the big payoff if the cards in a royal flush are on the screen in order of rank. There are 120 ways to arrange the five cards in a royal flush, and only one of them is the 10-Jack-Queen-King-Ace sequence. You know how rare royal flushes are. With expert play in 9-5 Double Double Bonus Poker at the 4,000-coin royal level, they come up an average of once per 40,065 hands.

With an average of one of every 120 royals sequential, you may or may not see one in the proper order in your lifetime.

How much does the sequential royal add to the overall payback percentage? Only about two-tenths of a percent, nowhere near making up the 1.1 percent difference between 9-6 and 9-5 Double Double Bonus.

Unless there is a great disparity between the progressive jackpots, with the 9-5 game’s royal progressive on the high side and the three progressives down near the starting point on the 9-6 game, then the 9-6 DDB game is going to be the higher-paying game.

With that three-way progressive, the Double Double Bonus machine has a chance of reaching the break-even point fairly often. If the three progressive jackpots are high enough, the payback percentage can reach or exceed 100 percent, heady territory for video poker players.

Calculating a break-even point is trickier than with a single progressive. If the only progressive was on royal flushes, 9-6 Double Double Bonus would become a 100-percent game with the royal payoff at 5,846 credits. If the only progressive was on four aces with a 2, 3 or 4, the break-even point is a 2,760-credit return. If a progressive only on four 2s-4s with an ace, 2, 3, or 4, the magic number is 1,152.

But with three progressive levels, all contribute to raising the payback percentage. One way to get to 100 percent is 5,500 coins on the royal, 2,100 on the aces plus kicker and 822 on the four aces, no kicker. Another way is jackpot levels of 4,800, 2,249 and 883 credits.

Understand that four aces, no kicker, occurs more frequently than the bigger-paying hands, so if the game is a 100-percenter based in part on the four-ace return, it probably won’t stay that way for very long. Someone will draw the aces and reset the pay to 800 coins.

When all this was explained by return email, the same reader wrote to ask about a special case in strategy.

“In 9-6 Double Double Bonus Poker with a three-way progressive on the royal, four aces with kicker and four aces, no kicker, I was dealt ace-2-3-4 of clubs and the ace of diamonds. I know the play is the four-card straight flush in a non-progressive game, but if the ace progressives get big enough, would you ever just hold the aces?”

There are turning points where holding the aces becomes better play, but it’s an interaction of the two ace jackpots. That’s very difficult to evaluate.

If the only progressive taken into account was the jackpot on four aces plus kicker, the turning point is a jackpot of 6,280 coins instead of the starting point of 2,000. At that level, the average return per five coins wagered is 11.9149 coins regardless of whether you hold ace-2-3-4 or the two aces plus one of the low kicker cards. You’re not likely ever to see a progressive that large, but if you do, the proper play is to hold a kicker along with the aces from that turning point onward.

If the aces-plus-kicker pot was constant at 2,000 coins, but there was a progressive on four aces, no kicker, starting at the rollover of an 800-coin payout, the turning point is 1,923 coins. When four aces, no kicker, pay that amount, the average return for holding A-A is 11.9160 coins, nudging past holding ace-2-3-4, at 11.9149.

But both jackpots increase simultaneously. Let’s say four aces, no kicker, pays 1,200 coins, a 50 percent increase from the usual 800-coin pay. How big does the aces plus kicker pay have to be for a strategy change? The turning point is 4,890 coins. If four aces pays 1,200 coins and four aces with a kicker pays 4,890, the average return per five coins play is 11.9149 coins regardless of whether you hold suited ace-2-3-4 or A-A.

If four aces are worth less than 1,200, it will take a bigger aces-kicker jackpot to bring a turning point, and if the aces alone are worth more, a somewhat smaller aces-kicker prize will turn the strategy around. But one or both jackpots will have to be at a level much higher than you usually see in the casino.

As a practical matter, holding the four parts of a straight flush is almost always the way to go, just as in a practical sort of way, 9-6 Double Double Bonus with a three-way progressive is almost always a higher payer than 9-5 DDB with a single progressive and a sequential royal.

Video Poker Royal Flush 2000

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Act One

• March 10, 2013

  How Many Royal Flushes Will You Get?

• Teacher note
  The video is actually Act 3, and would be shown as the reveal.
• 1.

  How many straight flushes would you expect the woman to get?

• 2.

  How many flushes would you expect the woman to get?

• 3.

  How many straights would you expect the woman to get?

• 4.

  How many pairs of Jacks or better would you expect the woman to get?

• 5.

  What is a guess that is too low?

• 6.

  What is a guess that is too high?

• 7.

  What is your best guess?

• Teacher note
  I debated on whether or not to include this problem given that it comes from a gambling context. Ultimately I decided that it is worth it because it is the best real life example of CCSS 7.SP. 6 and CCSS 7.SP.7 I can imagine. Where else in real life can you see an event with multiple outcomes play out 100 times in less than a minute to compare theoretical and experimental probability? 100 is also a fantastic number to work with as X% is literally X per hundred, so with 100 hands, we would expect to see X instances per hundred.
  Students will likely need some background both on poker hand rankings and how a 100-hand machine works.
  Poker Hand Rankings
  I am going to assume a basic understanding of a deck of cards and poker in general. This is a refresher of some of the poker hand rankings that are relevant to this lesson:
  Royal Flush – An A-K-Q-J-10 of the same suit (in this case A-K-Q-J-10 of hearts)
  Straight Flush – All five cards in a row and of the same suit (in this case K-Q-J-10-9 of hearts since A-K-Q-J-10 is considered a Royal Flush)
  Flush – All five cards are the same suit (in this case all Hearts)
  Straight – All five cards in a row (in this case A-K-Q-J-10 or K-Q-J-10-9 where all the cards are not the same suit)
  Pair of Jacks or better – A pair of cards within the five cards where both cards in the pair are J, Q, K, or A (in this case only pairs of J, Q, and K are possible)
  Note that while you must have five cards in a row for a straight flush or straight, they don’t necessarily have to be dealt to you in order. So 4-6-8-5-7 is still a straight because within your hand you have the five cards you need to have five cards in a row.
  Also, in case it wasn’t clear, a hand only qualifies for its highest rank. For example, a Royal Flush is also a straight flush, flush, and straight but is only considered to be a Royal Flush.
  How a 100-Hand Machine Works
  A 100-hand machine works by beginning with the player being dealt one hand. Every card the player holds is then held on the other 99 hands. If you look closely at the image below you will notice that at this point, the player has decided to discard the Q of Clubs and hold four cards (K-J-Q-10 of Hearts) because only the four cards being held say “HELD” at the bottom of each card. As a result, each of the 100 hands shows these four cards being held with one card that needs to be drawn.
• ImageThe 100-hand video poker machine before the first card is drawn.
• Teacher note
  Once the player presses “DRAW” each of the hundred hands is dealt the new fifth card, one at a time, from 100 separate decks. It is important to emphasize that these are separate decks. As such, just because one hand gets dealt an 8 of Hearts, the next hand still can get an 8 of Hearts as well.
  Lastly, the hundred hands are separated such that (starting at the top) there are nine rows of ten hands (90 total hands), then a row of 9, then the one at the bottom. That is a total of 100 (90 + 9 + 1).
  Since a deck of poker cards consists of 52 cards, and 5 cards have been dealt, 47 cards remain. Let’s look at each possible hand separately and remember that the player is beginning with:
  King of Hearts, Jack of Hearts, Queen of Hearts, and 10 of Hearts
• Teacher note
  Royal Flush
  Only the Ace of Hearts will give the player a Royal Flush. So, there is 1 card out of 47 remaining cards that will give her a Royal Flush. So, she has a 1 in 47 (about 2.1%) chance of getting a Royal Flush. Since there will be 100 hands and about 2.1% will be the card needed for a Royal Flush, students should expect there to be about 2 Royal Flushes.
  Straight Flush
  Similarly to the Royal Flush, only the 9 of Hearts will give the player a Straight Flush. Therefore, there is 1 card out of 47 remaining cards that will give her a Straight Flush. So, she has a 1 in 47 (about 2.1%) chance of getting a Straight Flush. Since there will be 100 hands and about 2.1% will be the card needed for a Straight Flush, students should also expect there to be about 2 Straight Flushes.
  Flush
  There are 13 cards in each suit of the deck. Four Hearts have been dealt to the player already (K-Q-J-10). An Ace or a 9 of Hearts would give the player a Royal Flush or Straight Flush, respectively. Therefore, only the remaining seven Hearts will give the player a Flush. So, there are 7 cards out of 47 remaining cards that will give her a Flush. Accordingly, she has a 7 in 47 (about 14.9%) chance of getting a Flush. Since there will be 100 hands and about 14.9% will be the card needed for a Flush, students should also expect there to be about 15 Flushes.
  Straight
  Any Ace or 9 will give the player a straight (A-K-Q-J-10 or K-Q-J-10-9). There are four Aces and four 9s. However, the Ace and 9 of Hearts will give the player a Royal Flush or Straight Flush, respectively. Therefore, only six cards remain that will give the player a Straight. So, there are 6 cards out of 47 remaining cards that will give her a Straight. Accordingly, she has a 6 in 47 (about 12.8%) chance of getting a Straight. Since there will be 100 hands and about 12.8% will be the card needed for a Straight, students should also expect there to be about 13 Straights.
  Pair of Jacks or better
  The player has already been dealt a K-Q-J-10, so another King, Queen, or Jack will give the player a pair of Jacks or better. There are four Kings, Queens, and Jacks. However, the King, Queen, and Jack of Hearts as well as the Queen of Clubs have already been dealt. Therefore, only eight cards will give the player a pair of Jacks or better. So, there are 8 cards out of 47 remaining cards that will give her a pair of Jacks or better. Accordingly, she has a 8 in 47 (about 17.02%) chance of getting a pair of Jacks or better. Since there will be 100 hands and about 17.02% will be the card needed for a pair of Jacks or better, students should also expect there to be about 17 pairs of Jacks or better.

Royal Flush Poker Game Free

• FileThe answer!

• Teacher note
  Depending on how you set this up, you can ask all the different hand questions at once or use some of them as a sequel.

show 23 more questions

Radica Video Poker Royal Flush 2000

• Are those numbers on the side indicating hands people have?

• How many different ways can you get a flush?

• What are the odds of a straight?

• How many of each hand do I expect

• Who is able to see this?

• What is it doing -- counting other people's hands?

• Why do people play these games?

• WHat is the probability of getting a straight royal flush?

• Is there a pattern?

• what did they win?

• What is the probability of getting straight? Why are there so many of them?

• How much did that cost?

• What is the game objective?

• What's the most likely hand to get in poker?

• what are the odds of 21 straits

• Are these results what we would expect?

• how many games will it take to get a straight flush

• How many hands?

• What are the odds of drawing a card that will give the player a royal flush?

• how many people got the royal flush?

• Gambling?

• vegas?

• What is the probability of getting each hand?