Combination and Probability

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pusha
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Combination and Probability

Post by pusha » Mon Jan 11, 2016 4:47 pm

Hi folks,

my math is a bit rusty so i'm kindly asking you guys for help. Following situation:

Lotto has 5/50 numbers. My playing set of numbers are 12 numbers. How can i calculate the amount of combinations and probability that in my set of numbers there are 5 numbers matching the a draw?

Many thanks in advance for your help.


Cheers,
pusha.

kalmara
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Re: Combination and Probability

Post by kalmara » Tue Jan 12, 2016 10:35 am

Hi there, pusha!
Using =combin(50;5) in excel reveals a total of 2,118,760 combinations in your 5/50 game.
I'm sure that the mathematical engines in both programs are pretty similar, so a quick check with the odds calculator (pretty handy tool imo) in GAT reveals this:
With 5 numbers drawn in a 50 number pool, with 12 selected numbers the natural odds of getting a 5-hit is 0.0373803545% (or once in 2675,20 draws lol).

Good luck, and cheers!
Your friendly neighborhood,
kalmara.

pusha
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Re: Combination and Probability

Post by pusha » Tue Jan 12, 2016 11:55 am

Hi Kalmara,

thanks for your help. I totally forgot this feature lol. Wish you good luck too.


Cheers,
pusha

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