I don't have children yet but I can tell you how the odds are calculated by chance:
1 child:
B = 50%
G = 50%
2 children:
BB = 0.5 x 0.5 -> 25%
GB + BG = (0.5 x 0.5) + (0.5 x 0.5) -> 50%
GG =0.5 x 0.5 -> 25%
3 children:
BBB = (0.5^3) -> 12,5%
BBG + BGG + BGB + GGB + GBG + GBB = (0.5^3)x 6 -> 75%
GGG = (0.5^3) -> 12,5%
Four children:
BBBB = (0.5^4) -> 6,25%
BBBG + BBGB + BGBB + GBBB + BGGB + etc. = (0.5^4) x 14 -> 87,5 %
GGGG = (0.5^4) -> 6,25%
Five children:
BBBBB = (0.5^5) -> 3,125%
BBBBG + BBBGB + BBGBB + etc. = (0.5^5)x30 = 93,75%
GGGGG = (0.5^5) -> 3,125%
Six children:
BBBBBB = (0.5^6) -> 1,5625%
BBBBBG + BBBBGB + BBBGBB + etc. = (0.5^6) x 62 -> 96,875%
GGGGGG = (0.5^6) -> 1,5625%
Your chances of getting BBBBBG however are the same as BBBBBB – also 1,5625%
Since you already have BBBBB your chances are 50/50.
EDIT: According to this article you are a bit more likely to have a boy (maybe 58% to 42%?)
But the next one could still be your girl - I wish you the best of luck
!