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Improved odds of a 5W Powerball win, or coincidence?
The only way I have found to consistently lower the odds in PB or MM is to eliminate all prime numbers. Of the last 408 MM draws, this occurred in 1 out of 7 draws. If everyone stopped buying quick picks and made their own with a simple Bingo hopper, I don't think we would see as many huge jackpots. Most assuredly, more 5 of 6 winners.
Dec 19, 2023, 12:55 pm - play4shekels - Mathematics Forum
Is it true...
I did some tests on that in which I picked a set of numbers and played it for every draw and along side of it, had the terminal do a different quick pick each time. Believe it or not, for Louisiana Lotto, Powerball, and MegaMillions, the random quick picks did better on matching numbers and getting winners than did the static set of numbers. None of them won jackpots and the prizes were all lower tier prizes, but the quick picks did do better at matching numbers statistically.
Jan 12, 2023, 10:02 pm - PrisonerSix - Mathematics Forum
Powerball Powerplay - Is it worth wagering it?
No question Powerplay enhances the smaller prizes, but the salient question is does it make you lose money faster than a regular ticket. Except for small jackpots, the answer is generally yes.
Jul 26, 2022, 8:45 pm - Orange71 - Mathematics Forum
Powerball Probability Question
I play PB/MM when the jackpots are ginormous, but I Superlotto Plus has better odds and costs less, and sometimes the jackpot gets up to the high double-digit millions. I suspect Jeet plays PB/MM too regardless of the weird act he puts on.
May 12, 2022, 8:38 pm - cottoneyedjoe - Mathematics Forum
Megaball prediction
Analyzing numbers is fun, but there is hardly any reason to believe that lotteries, at least government-run ones in democratic countries, should be anything other than random.
If you want to find an edge in lotteries, look for flaws in the prize structures, not the number draws. There's the famous story of the Midwest couple Jerry and Marge Selbee who did just that. They found a lottery with a prize structure such that jackpots that were not won were distributed down to lower prize categori
May 10, 2023, 7:55 pm - Orange71 - Mathematics Forum
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
My fascination -The first digit
Any lottery is a business and many players most of us myself included would love to understand the concept of how the first number(the lowest on the left will be) In my books a good predictor is measured by how he can correctly read the first digit. If your first digit is out your chances on the jackpot is GONE....no surprise there.
Is there a formula ? No you have no code than calculate the next draws first digit theres is though patterns that can assist with it its extremely complica
Aug 18, 2023, 5:59 am - Ricklou - Mathematics Forum
Mega Millions Just The Jackpot
To your point about variance, yes, JTJ is obviously going to be higher than a regular ticket. Both are going to be a huge variance, regardless. So, if variance is the concern, don't play the games to begin with. You will get a few bucks back by playing a regular ticket and hitting the minor prizes, but as percentage of $ spent, it's still very low. The return is basically predicated on hitting the jackpot, which the average person more than likely would not hit in a thousand lifetimes.
Ther
Jul 17, 2023, 8:17 pm - Orange71 - Mathematics Forum
Chi-Squared Goodness of Fit Test for Lotteries
IMHO, in general government-run lotteries (in the western world at least) are not going to be exploitable in terms of statistical frequency attack. A lot of time, energy and money(!) is obviously put into trying. Eventually, if you look at enough lotteries, you'll find improbable outcomes and what appears to be non-randomness . Highly likely, that doesn't mean there is a flaw. Just if you sample enough, you get unusual patterns. (It's inevitable.) The people who have successfully exploited lotte
Mar 1, 2023, 2:46 pm - Orange71 - Mathematics Forum
Chi-Squared Goodness of Fit Test for Lotteries
I also implemented 3rd order Bayesean optimal estimation, despite the limited data set.
I also implemented a blend between 1st and 2nd order statistics.
I also tried joint Bayesean optimal estimation of intra-draw pairs and inter-draw pairs, which you could view as a subset of full 3rd order statistics.
I have developed a program that picks in a way to maximize 3W, 4W, and 5W hits since that's what pays. My analysis shows that there exists a tiny bit of information in past draw data
Feb 7, 2023, 2:58 pm - Wavepack - Mathematics Forum