(2019-10-04, 10:07 PM)fls Wrote: [ -> ]I think it actually works out even.
Yes. This seems to be the case.
(2019-10-04, 10:07 PM)fls Wrote: [ -> ]Yes there is an imbalance when it's 2 boys and 2 girls. But when it's all girls, it adds up to 12 sisters (each of the 4 girls has 3 sisters).
Right, and this latter is counter-balanced also by cases such as 3 boys and 1 girl, in which that girl has no sisters but each of the three boys has one, for a total of three.
(2019-10-04, 10:07 PM)fls Wrote: [ -> ]Taking all possible combinations into account adds up to the same number of sisters.
Yes, that seems to be correct. Here are the tables for 2, 3, and 4 siblings:
Code:
G sisters B sisters
GG 1,1
GB 1
BG 1
BB
Avg: 1 1
G sisters B sisters
GGG 2,2,2
GGB 1,1 2
GBG 1,1 2
GBB 1,1
BGG 1,1 2
BGB 1,1
BBG 1,1
BBB
Avg: 12/9 = 1 3/11 12/9 = 1 1/3
G sisters B sisters
GGGG 3,3,3,3
GGGB 2,2,2 3
GGBG 2,2,2 3
GGBB 1,1 2,2
GBGG 2,2,2 3
GBGB 1,1 2,2
GBBG 1,1 2,2
GBBB 1,1,1
BGGG 2,2,2 3
BGGB 1,1 2,2
BGBG 1,1 2,2
BGBB 1,1,1
BBGG 1,1 2,2
BBGB 1,1,1
BBBG 1,1,1
BBBB
Avg: 48/28 = 1 5/7 48/28 = 1 5/7
By both totals and averages, girls have the same number of sisters as boys.