How many repeat combinations in Cash 5

Reply #16

eddessaknight — Fri, 30 Sep 2022 00:13:20 GMT

For your fun consideration, it's been my experience with all speculator action, that there are special times, when experts in their fields up for, a rather out of the box i.e. extraordinary or abnormal play action that works brilliantly. There is possibly a download into the majestic pituitary or pineal gland that this is the moment to deviate from the textbook with this winning improbable solution.

PS:

The odds always deceive

Reply #15

Orange71 — Mon, 26 Sep 2022 00:08:00 GMT

It was stated earlier that out of 8100 drawings (or thereabouts) of CT Cash 5 there were 93 instances of a set of numbers being drawn twice and 3 instances of a set of numbers being drawn 3 times.

I ran my own random simulation of 1000 repetitions of 8100 drawings of the CT Cash 5 Game (5/35) in order to compare with the actual results reported. The event of 93 instances of sets of numbers being drawn exactly twice was at the 27.5 percentile of the 1000 simulations, so somewhat below average... [ More ]

Reply #14

Orange71 — Thu, 15 Sep 2022 18:43:35 GMT

If we were to ask what the probability distribution is for subsequent number of draws until a repeat of particular combination (or sequence), it would be this:

Again, r is the number of draws until the repeat (1,2,3,...), N is the number of combinations and P is the cumulative probability that a repeat of a combination / sequence will occur on or before the r -th subsequent draw. We can then solve for r as follows:

r is generally not going to be an integer, so we would need to

Reply #13

ddude003 — Thu, 15 Sep 2022 18:25:18 GMT

Thank you

Reply #12

GiveFive — Thu, 15 Sep 2022 08:59:00 GMT

Yup... I have/use GH SL AG.

In The Drop Down Menu from the main screen select/click Option 9. (Companion Pairs) Then click on Option C, Quints . G5

Reply #11

Orange71 — Thu, 15 Sep 2022 00:48:04 GMT

cottoneyedjoe, agree. It's virtually inevitable to have at least one repeat occur.

If we want to consider the unconditional probability that any particular combination will occur at least twice, we'd use this equation:

where r = number of draws of interest, e.g. 8000 in this case, and N = number of combinations for the game, e.g. 324631 in the 5/35 game case. In the case of r=8000 and N=324631, then, P=0.0003 or 0.03%.

Reply #10

ddude003 — Thu, 15 Sep 2022 00:26:34 GMT

Mo is RNG... Always looking for an opportunity to learn GiveFive... Did you use your GH Smart Luck software to come up with those stats? I use GH SL AG to double check some things about my own software... Would you mind saying what feature(s) you use to come up with the 20 times

Reply #9

GiveFive — Wed, 14 Sep 2022 20:51:36 GMT

Nah. No matter if a RNG or ball and drum machine is used, the same thing happens in Pick5 games all over the USA. The same glitch would have to be in each and every states method.

You're in Mizzou... which has a a 5/39 game. Although I don't know if it's a RNG or ball and drum, since 9/8/2008 Show Me The Cash has had it happen 20 times in 5119 drawings. Last time it happened was on 9/17/2021 when this combo was drawn ==== 5 6 17 27 31 G5

Reply #8

ddude003 — Wed, 14 Sep 2022 17:30:13 GMT

Connecticut Cash 5 Draw Method is a Mechanical Lottery Ball Machine... A glitch in the matrix perhaps...

Reply #7

GiveFive — Tue, 13 Sep 2022 16:38:39 GMT

I'm sure Cottoneyedjoe's explanation (above) is accurate/correct.

Here's what I think is the most interesting thing about it. It took only 688 drawings for the same set of five CT Cash5 numbers to be drawn twice.

The first Cash5 drawing was held on 4/14/2000. On 9/16/2001 the 511th draw was held and this combo was drawn ====== 1 10 12 15 34.

One hundred and seventy seven Cash5 draws later that same combo was drawn for the second time on 3/2/2002 - the 688th drawing of CT Cash5. So t... [ More ]

Reply #6

Geodesic — Tue, 13 Sep 2022 04:13:14 GMT

Combination number, Lexicographic order number or just the Index number.

G5, your Lottery Post Member Number is 92,605 so converted it to a 5/35 set

92,605 = 3-5-8-10-14

Who knows, it just might be lucky

Have fun finding out more hidden stats.

Reply #5

GiveFive — Mon, 12 Sep 2022 12:23:21 GMT

My software is Gail Howard's Smart Luck. Google Smart Luck and it comes to the top of the search list. As far as Howard's software goes it's simply the software I chose to buy. It's no worse nor any better than any other. They all do pretty much the same thing. I enjoy using it... studying the numbers and learning about things like the repeating sets of five numbers is kind of my hobby. The thing about repeating sets of five numbers is that without software it's completely invisible to anybody.... [ More ]

Reply #4

Geodesic — Sun, 11 Sep 2022 17:44:56 GMT

Thank you G5 for the totally amazing stats. I'm blown away.

I have commercially available lottery software on my laptop.

Care to elaborate on the name of the software?

You must have one heck of a database to feed that software.

Cottoneyedjoe, You explained in a way that made sense to this old man

the certainty of repeat numbers in the Cash5 game. Thank you

Reply #3

ddude003 — Sun, 11 Sep 2022 17:08:11 GMT

1 17 27 28 34 looks like a perfect GH pick...

Reply #2

cottoneyedjoe — Sun, 11 Sep 2022 16:51:29 GMT

While there's no guarantee that there will be a certain number of repeats, the probability of it happening at least once in 8000 draws (for a 5/35 game) is 99.999...% or very nearly 100%.

To see why, start with a small example with a simpler game. What is the likelihood of no repeats in Pick 3 played straight, over a period of 2 consecutive games? That would be just 999/1000, and so the probability of a repeat is 1 - 999/1000 = 1/1000 = 0.1%.

The likelihood of no repeats in Pick 3 p... [ More ]

Reply #1

GiveFive — Sun, 11 Sep 2022 12:58:06 GMT

93 times in the more than 8100 drawings of CT Cash5 have two sets of five numbers been drawn twice.

There have been three times in Cash5 where a set of five numbers has been drawn THREE times. They are 1 17 27 28 34 which was drawn on 7/31/2003, 2/28/2015 7/21/2021. 2 18 26 28 30 was drawn on 4/1/2001, 4/4/2008 1/23/2020. 21 22 25 28 30 was drawn on 8/19/2014, 8/24/2018 11/15/2018.

While it may surprise you to have learned there have been 93 times in CT Cash5 where the same set of five n... [ More ]

How many repeat combinations in Cash 5

Geodesic — Sun, 11 Sep 2022 05:05:19 GMT

The Connecticut Cash 5 game is a 5/35 game meaning that there are

324632 5 number combinations of those 35 numbers. In over 8000 draws

how many times would any sequence be repeated.

I know there are some real sharp Math people on this site and could figure

out how many combinations would be repeated.