Odds of picking 3 numbers from 6 drawn in a standard 49 number lottery

Lewiskj

New Member
Joined
Feb 17, 2019
Messages
44
Office Version
  1. 365
Platform
  1. Windows
Ive been trying to figure out how to calculate this in excel for a long time but it's way beyond my math abilities.

Trying to work out the actual odds of success in the following.

Lottery has 49 balls
I choose 3 of these numbers
6 balls are drawn.
I need my 3 numbers to be within those 6

I keep ending up with Hypergeometric distribution when searching the web but, as i said. this is way beyond my skills.

I'd be very greatfull for any advise, or a pointer in the right direction to solve this.
 
post some raw data including expected results.
 
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49S lOTTERY.xlsm
ABC
1A =Number of balls in lottery49
2B =Number of balls drawn from lottery6
3C =Number of balls I picked (Must be within 6 drawn)3
4D =Odds of correct correct 3 numbers (C) being drawn within the 6 numbers (B) ?????
Odds of 3 numbers
 
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There are COMBIN(49,6) possible draws. Given any three numbers, there are COMBIN(46,3) draws that contain all three of those numbers.

So you have a COMBIN(46,3) / COMBIN(49,6) = ~0.11% of correctly choosing three numbers that all appear in the six numbers drawn.
 
Last edited:
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