Each egg has a 1/2 chance of being male. The odds are the same as flipping a coin the same way four times in a row.
You have eight possible outcomes.
Coin 1 either H or T
Coin 2 either H or T
Coin 3 either H or T
Coin 4 either H or T
So zero H and four T
Or one H and three T
Or two H and two T
Or three H and one T
Or four H and zero T
If I remember properly you will have odds 1/8 that all will be male and 1/8 that all will be female.
Then 1/4 that one will be male or 1/4 that one will be female.
And 1/2 that you will have an even split.
I fail to remember the calculations. I am sure there is a derivative to calculate the curve. But that was too many years ago.
Maybe someone will correct me if I have erred.
ETA, I think Ballistic has the correct formula.
1 X 2 to the fourth for all male and 1 x 2 to the fourth for all female.
1 x 2 to the third for three males and 1 x 2 to the third for three females
1 x 2 to the second for two males and 1 x 2 to the second for two females
Last edited by Idaho_Shooter; 04/15/21.