I know it's supposed to be 50/50....

So far this year I'm approaching 70% roo over about an 80 chick sample
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so I'm hatching more because my PULLETS should start happening any time now RIGHT????

Really gravely ticked at my odds this year. Oh well, there's always next year, and I have a new flock of layers so hopefully we've dumped the boy laying fiends.
 
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Here are the odds, assuming each chick has an equal chance of being male or female.

12 chicks means 4096 possible combinations (12 male, 0 female; 11 male; 1 female; 10 male, 2 female, etc.)

The formula for calculating the numbers of each pair is:

(Total chicks)! / (M! X F!). "!" is the factorial function.
This yields the following results

12 M / 0 F = 1
11 M / 1 F = 12
10 M / 2 F = 66
9 M / 3 F = 220
8 M / 4 F = 495
7 M / 5 F = 792
6 M / 6 F = 924
5 M / 7 F = 792
4 M / 8 F = 495
3 M / 9 F = 220
2 M / 10 F = 66
1 M / 11 F = 12
0 M / 12 F = 1
TOTAL = 4096

So the odds of getting exactly 6 of each is 924 / 4096 = 22.5 percent
So the odds of NOT getting exactly 6 of each is 77.5 percent -- pretty high.


Of course, getting 6 of each is by far the most likely outcome and the probability of getting at least 5 of each (i.e. 7 M / 5F; 6 M / 6F; or 5 M / 7F) is more than 60 percent: (792 + 924 +792) / 4096 = 61%


OK, sorry for the nerd rant!
 
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Usually, the odds depends on larger samples, as NY said. However, this past year, I did get an even number of male and female Welsummers from 12 birds. Have never had an all-male hatch, but did come close a couple times.
It's usually 60/40 with 60 being male for me, if I'm lucky. I've never incubated huge batches of one breed to test the odds, though.
 

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