Ask The Wizard #275
What is the Mechanism Behind Community Bonuses in Slot Machines?
Community bonuses, also known as group bonuses, are a fresh and appealing feature in the world of slot machines. The method of earning these bonuses can differ depending on the specific game, but the core idea is that multiple players can engage in the same bonus round simultaneously. The results are typically displayed on a large monitor that all participants can see. A notable exception is the Wheel of Fortune community bonus, where a substantial wheel is placed between individual machines.
As I understand it, the Wheel of Fortune community bonus is activated when one player triggers a special event independently. Once this occurs, a countdown of 10 seconds begins, allowing other players a fleeting opportunity to also activate a bonus. In most scenarios, this doesn’t happen, which means the original player enjoys the bonus alone.
Conversely, in the American Idol slot machine, every active player engages in the community bonus together. This bonus can be activated regardless of how the reels land, ensuring that the chances of a bonus remain constant, irrespective of the number of players or the pace of their gameplay. The following sections will delve into the specific workings of the American Idol community bonus.
It would be unjust if two players were betting on community bonus machines, with one wagering $1 a minute and the other $10 a minute, yet both expected the same value from the community bonus. To prevent this unfairness, a multiplier is applied to the final bonus payout based on the individual player’s bet size at the point of bonus activation, taking into account both average bet amounts and the speed of play. The way the game determines each participant's multiplier can be a bit complex. Here's what I've discovered:
- The game monitors each player's betting activity over the past 40 seconds, maintaining this data in a queue.
- For every 20 cents wagered at a given time, the player secures 10 seconds of 1x multipliers. Therefore, if someone places a $1 bet, they earn 10 seconds of 5x multipliers, which are added to the end of their queue.
- If a player bets at a faster pace than one bet every ten seconds, resulting in insufficient space in the queue to append an additional 10 seconds of multipliers, the game reallocates any extra multipliers onto the last few seconds. The exact mechanics of this process remain unclear.
- While a player is at the machine, the game will remove the highest multipliers from the queue, akin to how only the most attractive club-goers are admitted first in a nightclub queue.
- As these multipliers are removed from the queue, they become eligible for use if the community bonus activates during that moment.
- At any fraction of a second, provided there isn’t an ongoing community bonus, there exists a fixed probability for the bonus to be activated. Therefore, the intervals between bonuses resemble an exponential distribution. Essentially, a bonus operates without memory and isn’t considered overdue, similarly to the odds of drawing a royal flush in video poker.
For example, suppose a player has 35 seconds of 1x multipliers in their queue. If they place a $1 bet, typically this would secure an additional 10 seconds at a 5x multiplier. However, in this instance, the queue lacks sufficient space to accommodate ten more seconds. The game would likely distribute four seconds of 1x multipliers and one second of 6x multiplier, aiming to keep the total time multiplied by the average multiplier equal to 10.
In addition to community bonuses, there are also 'local bonuses' that individual players earn, which only they can use. If a community bonus is triggered while a local bonus is active, the local bonus will be paused until the community bonus concludes. To ensure that the local bonus player remains considered for the community bonus, the game grants them 60 seconds of multipliers, which deviates from the standard 40-second queue. The method for determining the multiplier during this period is not clear. If the local bonus concludes in under 60 seconds, any leftover multipliers are added to their queue.
One aspect I remain uncertain about is what occurs if a new player starts using a machine during an active community bonus, a scenario allowed by the game. It would be inequitable for that player to engage without the potential to initiate another bonus. I've heard that the machine has a way of accommodating such players, but I lack specifics on how that works.
This subject was raised and openly discussed on the forum of my affiliated website. Wizard of Vegas .
If you have any insights or can clarify any ambiguities in my explanation, please don’t hesitate to reach out to me or share your thoughts on my forum.
The article Most-stolen cars: Old Hondas Recently, a list detailing the most commonly stolen vehicles of 2010 was published. My concern with this information is that it doesn’t serve much purpose for the general public, who ought to be more focused on the overall rates of auto theft. Do you agree?
Absolutely, I concur! Presenting the public with a list of the most frequently stolen vehicles based solely on totals is somewhat misleading and at worst may lead to erroneous conclusions, such as suggesting that an old Honda is at greater risk for theft than others.
What's truly valuable for the public is to understand auto theft from a different angle—specifically, the rate of stolen cars relative to their prevalence on the road. An article that provides such statistics highlights this better.ratesSurprisingly, the Cadillac Escalade appears to be the most stolen vehicle, with no Honda models even making it into the top 10. The 10 Most Stolen Cars in 2011 Publishing a list based solely on total thefts can unjustly alarm owners of older Hondas, when it is actually Escalade owners who should be more concerned. To all media platforms that disseminated the list from the National Insurance Crime Bureau—shame on you!
What do you think about the lawsuit filed against the Quebec Lottery regarding allegations of non-random ticket distributions?
For those unfamiliar with the issue, the Quebec Lottery has a game called . This game involves a machine that randomly selects a 7-digit number, and players must match as many digits as possible, in order, based on a random draw. The digits can align in either direction. The smallest prize starts at $2 for matching only the right-most digit, while the grand prize can reach up to $1,000,000 for matching all seven digits.
The plaintiffs involved in the lawsuit observed that when purchasing ten Extras, the game selected one each from the first and last digits. Essentially, by examining just the first or the last digit, all ten numbers from 0 to 9 would be represented. Their claim argues this results in merely two winning chances, indicating a lack of randomness. Extra I understand their argument. The variance in that game predominantly stems from the $1,000,000 jackpot. In a truly random scenario, the standard deviation of ten completely independent tickets would be 1002.845, whereas the method employed by the Quebec Lottery results in a standard deviation of approximately 1002.833 for ten tickets purchased concurrently.
In my view, when a player buys several quick pick tickets, each ticket should warrant independence from the others. However, I find the $20 million lawsuit to be largely frivolous. If I were the judge, I would award the plaintiffs a mere $1.
Recently, I was enjoying a game of Hearts and received all 10 cards from that suit. What are the odds of that happening?
For individuals not acquainted with the rules of Hearts, gameplay commences with dealing 13 cards to each of the four players. The number of hearts you possess is significant to the game, making that detail particularly important. The table below illustrates the probabilities of being dealt between 0 to 13 hearts.
This subject was raised and openly discussed on the forum of my affiliated website. Wizard of Vegas .
Calculated probabilities for receiving between 0 to 13 Hearts out of 13 Cards.
Strategies and guidelines based on mathematical principles for various casino games, including classics like blackjack, craps, roulette, alongside countless others.
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Hearts | Combinations | Probability | Inverse |
---|---|---|---|
13 | 1 | 0.0000000000016 | 1 in 635,013,559,600.0 |
12 | 507 | 0.0000000007984 | 1 in 1,252,492,228.0 |
11 | 57,798 | 0.0000000910185 | 1 in 10,986,773.9 |
10 | 2,613,754 | 0.0000041160601 | 1 in 242,950.8 |
9 | 58,809,465 | 0.0000926113531 | 1 in 10,797.8 |
8 | 740,999,259 | 0.0011669030492 | 1 in 857.0 |
7 | 5,598,661,068 | 0.0088166008164 | 1 in 113.4 |
6 | 26,393,687,892 | 0.0415639752774 | 1 in 24.1 |
5 | 79,181,063,676 | 0.1246919258321 | 1 in 8.0 |
4 | 151,519,319,380 | 0.2386080062219 | 1 in 4.2 |
3 | 181,823,183,256 | 0.2863296074662 | 1 in 3.5 |
2 | 130,732,371,432 | 0.2058733541286 | 1 in 4.9 |
1 | 50,840,366,668 | 0.0800618599389 | 1 in 12.5 |
0 | 8,122,425,444 | 0.0127909480376 | 1 in 78.2 |
Total | 635,013,559,600 | 1.0000000000000 |
This subject was raised and openly discussed on the forum of my affiliated website. Wizard of Vegas .