How are odds calculated?

Reply #12

rcbbuckeye — Sun, 22 Nov 2009 05:24:43 GMT

Thanks RJOh.

Reply #11

RJOh — Thu, 19 Nov 2009 18:39:23 GMT

The number of possible combinations in a pool of 56 numbers are 3819816 but odds are based on possible combinations in the game and when you have 46 bonus numbers the possible combinations are 46 x 3819816 = 175711536.

Since there are 46 5of5 combinations with a bonus numbers, when the one winning 5+1 combination is removed/subtracted there are (46-1) 45 5of5 combinations left with 175711536 possible combinations and the odds of having one of them are 175711536 45 = 3904700.8.

Reply #10

rcbbuckeye — Thu, 19 Nov 2009 13:46:57 GMT

That's how I know to calculate odds (math is not my strong suite). However, on the MM playslip, the odds of 5+0 are 3,904,701. I have wondered where they come up with that number, instead of 3,819,816.

Reply #9

Pogo — Thu, 22 Oct 2009 14:21:09 GMT

This isn't just for calculating the probability of a win - you can calculate the probability of any numeric occurence with this formula - you just need to know how to use it... Including but not limited to lotto, mortgage, etc. Enjoy - Pogo

Reply #8

Jack-C — Thu, 22 Oct 2009 13:33:39 GMT

It's much easier to just look at the back of the playslip

Reply #7

bomatt — Thu, 22 Oct 2009 13:19:16 GMT

I did it. I made a program in Access that calculates all possible combinations and

I made a table of that with each being a record. There are 575757 records.

Starting from 01-02-03-04-05 and ending with 35-36-37-38-39.

Reply #6

Pogo — Thu, 01 Oct 2009 19:06:38 GMT

Now for Pick 3's Pick 4's it's easy just how many numbers for how many numbers... 1 out of ten (0 - 9) = 10, then for Pick 3 it would be P3 = 10^3 = 1000 or all picks (000 - 999), therefore Pick 4 would be P4 = 10^4 = 10000 or all picks (0000 - 9999)... Much easier however you can still use nCr...

nCr = 10 (C1) 1 = 10, 10 (C2) 1 = 10, 10 (C3) 1 = 10 - they are totally independent therefore using Boolean model in probability methods would be a logical AND which is multiplying mathematically, t... [ More ]

Reply #5

Pogo — Thu, 01 Oct 2009 18:56:13 GMT

Most of the Pick 5's, 6's, MM, PB, etc. can be calculated using a simple nCr function on a calculator or excel which means from n choose r does this nCr= n!/(n-r)!*r!

This gives you an equation that calculates if you choose r numbers from n available it has x odds...

I.E. (For Example) MegaMillions 5 out of 56 = C(56,5) = 56! / 5! (56 - 5)! = 3,819,816 1 out of 46 = 46, therefore 3,819,816 * 46 = 175711536

There's your outcome... Hope that helps, Pogo

Reply #4

KY Floyd — Thu, 01 Oct 2009 18:09:13 GMT

Where does those odds come from?

2 of 5 has 1:9.6 odds.

3 of 5 has 1:103 odds

Where do they come from?

===

They come from the multiple ways of having some of the 5 winning numbers. As mentioned above, the order isnt important, but there's only 1 chance to have all 5 numbers, so there's only 1 winning combination out of the 575,757 possible combinations. There are multiple way to have some, but not all of the winning numbers, so that gives you more than 1 chance in 575,757 of winni... [ More ]

Reply #3

johnph77 — Wed, 30 Sep 2009 14:25:44 GMT

Any given 5-number combination can be drawn in 120 different orders, hence the 1*2*3*4*5 divisor, and the true odds of 1::575,757. For instance, if 01-02-03-04-05 were to be the result of the drawing, the order of the draw could have been 03, 01, 04, 02 and 05; 02, 01, 03, 05 and 04; or any of the other 118 orders available for this set of numbers.

For more info:

http://www.johnph77.com/math/lo.html

No ads, nothing to sell, for informational purposes only.

gl

j

Reply #2

Tinker — Tue, 29 Sep 2009 17:20:01 GMT

(39*38*37*36*35) / (1*2*3*4*5) = 575757

Any other odds I'm not good at.

Reply #1

Todd — Tue, 29 Sep 2009 17:09:09 GMT

How are odds calculated?

bomatt — Tue, 29 Sep 2009 15:02:35 GMT

Cash 3 Cash 4 are easy. 1:1000 odds out of 1000 numbers or 1:10,000

But fantasy 5 has 1:575,757 odds for 5 of 5.

I thought it was 39*38*37*36*35 which is 69,090,840.

Where does those odds come from?

2 of 5 has 1:9.6 odds.

3 of 5 has 1:103 odds

Where do they come from