For the visual learners....
One egg, two equally possible outcomes.
MF
Two eggs, same two outcomes for the first egg if the other egg is male.... (MM MF) or female.... (FM FF) hence four equally possible outcome
MM MF
FM FF
Three eggs, same four outcomes for the original two eggs if the third egg is a male, and the same four possible outcomes for the original two eggs if the third eggs is a female.... hence eight equally possible outcomes
MMM MMF
MFM MFF
FMM FMF
FFM FFF
Four eggs, same eight possible outcomes for the original three eggs if the fourth egg is a male, same eight possible outcomes for those three eggs if the fourth egg is a female. Hence sixteen equally possible outcomes.
MMMM MMMF
MMFM MMFF
MFMM MFMF
MFFM MFFF
FMMM FMMF
FMFM FMFF
FFMM FFMF
FFFM FFFF
One out of sixteen probability of all male MMMM
(1/16=0.0625. 6.25%).
Same one out of sixteen probability of all females FFFF.
The other combinations yer gonna have to count for yourselves.
