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Powerball Powerplay - Is it worth wagering it?
Powerball Powerplay - Is it worth paying the extra $1 (meaning, does it improve the expected value of the return per $ bet)? Short answer - not really. Long answer: It depends on (a) the Expected Value of the Jackpot, and (b) whether you consider improvement of a negative Expected Value of the return (less negative return per $ bet, or in other words, smaller loss) worth it. You can read about how Powerplay works at the Powerball website. Basically, you pay an extra dollar per bet
Jul 8, 2022, 5:35 pm - Orange71 - Mathematics Forum

Artificial IntelligenceReply
when you talk about back propagation, you're talking about neural networks and connectionism. That's not the only kind of artificial intelligence, the other main branch is heuristics and is closer to traditional programming. Connectionism is mathematically very simple, it's a matrix multiplication, back propagation is adjusting the elements of the multiplier vector up or down according to what the impact of that multiplier should've been. This results in a single layer neural net which is ac
Aug 27, 2010, 12:30 am - jwhou - Mathematics Forum

Best Strategy for the new Massachusetts All or Nothing gameReply
The price is $1 dollar per game wager. However, there is also a bonus option whereby for an extra $1 dollar a player can activate the bonus option by checking Y in the appropriate box and paying the extra $1 per bet. This bonus option increases the player's prize amounts by 3, 4, 5, or 10 times if he or she wins and there is a multiplier number that comes up. Here is an example: Prizes won if playing the All or Nothing Bonus Option: Bonus Odds Not Played Played No Bonu
Jul 13, 2016, 6:25 pm - Kosh - Mathematics Forum

Craps Pass Line With Odds Bet - Casino AdvantageReply
The equivalent % House advantage per unit bet for Don't Pass with Odds is (45/11)[1/(2n+3)]. n is the Odds multiplier (1x, 2x, 5x, 10x, etc.) Here is the summary:
Sep 8, 2022, 3:31 pm - Orange71 - Mathematics Forum

Powerball Powerplay - Is it worth wagering it?Reply
Depends on how many tickets you're buying but because the minimum multiplier is 2, IMO the extra buck is worth it. Most of like to dream but realistically we should expect to win a smaller secondary prize and Power Play upgrades smaller wins.
Jul 26, 2022, 12:19 am - Stack47 - Mathematics Forum

Powerball Powerplay - Is it worth wagering it?Reply
One correction: with Powerplay the prize for the match all 5 main balls without Powerball tier is $2M, regardless of the Powerplay Multiplier, whereas without Powerplay it would only $1M. I had accounted for this in my calculations.
Jul 8, 2022, 10:37 pm - Orange71 - Mathematics Forum

My Method: A linear congruential generator picker
Hi all, I am watching quietly LP for a long time now and I am an active researcher in lottery subjects. Have done all the usual drills, such as passing from neural nets to ARIMA models and from statistical methods to randomizers... A brief conclusion so far from me: The main reason these methods fail is simple, known and let me put it in a simple yet intuitive way which will help me later to present my latest finding: (useful remark: for practical reasons I will refer to a 5/45 Lotte
May 10, 2019, 6:13 am - AntonisCh - Mathematics Forum

Predictive Software.. I need one that makes functional narrativesReply
MW: Yes, that's how I use it, too. As I mentioned, I use Advantage Plus to compliment my pencil-and-paper systems. I prefer the old-fashioned method of tracking numbers because I believe it gives me a better feel for the game. I choose my numbers from my manual charts, and then compare my selections against those tagged by Gail Howard's program. Unfortunately, she's right more often than I am, but I haven't yet reached the point where I'm ready to abandon my paper charts, colored pencil
Mar 24, 2008, 10:41 am - jim695 - Mathematics Forum

Mathematical Cost of Playing the GameReply
Wedding coordinators earn a fee for organizing weddings. Persons could do it themselves and save money. Yet, to do it professionally and right cost money. First TN Powerball Group of Shelby County isn't a nonprofit group. It requires time energy and money organizing teams across the USA to join Lottery Pools. Whoever, organizes the group has to safeguard the investments of each team member. Otherwise, they may not fulfill their payoff obligations. My job as the group organizer, is to provide all
May 15, 2004, 12:26 pm - solemntruth - Mathematics Forum

Craps Pass Line With Odds Bet - Casino AdvantageReply
Yes, the odds bet, sometimes called free odds , is universally paid according to the true probabilities, without house advantage. However, before making this bet, you must make the Pass Line bet first, and that has a 1.414% house advantage. The casinos vary in how much you can bet on the odds as a multiplier of the original Pass Line bet. For example, a casino that offers 10x Odds on a $10 Pass Line bet will let you bet up to $100 on the odds bet. As an example of how odds or free odds func
Sep 6, 2022, 8:14 pm - Orange71 - Mathematics Forum