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Megamillions number frequency - probability puzzleReply
^ The Powerball was 18 on Dec 13, 2023.
Dec 14, 2023, 7:48 pm - Wavepack - Mathematics Forum

Improved odds of a 5W Powerball win, or coincidence?
I've discovered a relationship in the Powerball draws which improves the odds of a 5 white ball hit by a factor of 35.7. 69 choose 5 = 11,238,513, so the odds of a 5W hit are 1 in 11,238,513, assuming the balls are equally likely to be picked. The relationship in past draws reduces the odds to 1 in 314,432 Still a long shot, but much improved. Standard statistical analysis will not sift out this 5W signal. I discovered it with exhaustive search. Could this relationship just b
Dec 12, 2023, 5:26 pm - Wavepack - Mathematics Forum

Shuffling and Mixing
Lotto ball machines work well to randomize ball picks because of their mixing properties. A closely related problem is how many shuffles are sufficient to randomize a deck of cards. The following curve is pulled from an AMS (American Mathematic Society) post on this topic. A link to the post is given below. https://www.ams.org/publicoutreach/feature-column/fcarc-shuffle d is a measure of how close the pdf (probability distribution function) of the card ordering is from uni
Dec 24, 2023, 5:01 pm - Wavepack - Mathematics Forum

Monty Hall Problem and Implications Explained
The Monty Hall problem is a famous case study in the application of Probability, specifically the concept of Conditional Probability. In simple terms Conditional Probability is the probability that something will occur given the additional information that something else has occurred. If something else is known to have occurred, it may or may not affect the probability of something . Examples of the probability of something not being affected by something else are (a) the outcome of the n-t
Mar 28, 2024, 9:56 pm - Orange71 - Mathematics Forum

Truly Random Numbers
I've been working to create an Excel Spreadsheet to create lottery numbers drawn in picture form. Basically a grid. I'd speculate that if lottery numbers are random then in a perfect situation would be a number after being drawn would not be drawn again until all other numbers have been drawn. We know this not to be true. What in theory makes the lottery numbers drawn is that we can't consistently predict what the next drawn numbers would be. So far I'm using the Spreadsheet for Michigan's Lotto
Dec 16, 2023, 12:27 pm - SwingTrader1941 - Mathematics Forum