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Box odds question
Of course for a straight hit the odds are 1 in 10,000, but we are talking about people who actually play pick 4. Box odds are not the same, I actually prefer
to play 50/50 and for my 4538 pick in Maryland I at least get $100 for a box hit, and if I beat the 1/24 odds I also get $2500. You can
always play a combo if your state has it. But a $1 combo will cost your $24 if it is a 24 way number.
Jul 20, 2023, 3:37 pm - kdsjeter - Mathematics Forum
Box odds question
In Pick 4 there are 715 different box combinations
210 singles (ex: 1234)
360 doubles (ex: 1123)
45 Double Pairs (Ex: 1122)
90 Triples (Ex: 1112)
10 Quads (Ex: 1111)
My question is, if I'm playing just 2 boxes, say 1122 and 1234, then do they both have the same 1/715 box odds?
Or is the double pair combo odds different since its type of combination has 45 boxes while the other has 210?
Jul 10, 2023, 3:28 pm - ScoobyDue - 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