Answer:
57/64
Step-by-step explanation:
exactly 6 boys: (1/2)^6 BBBBBB
exactly 5 boys: 6*(1/2)^6 BBBBBG BBBBGB (and the 4 other slots the girl can fall)
at least 2 girls is equal to all other scenarios (where there are not 5 or 6 boys)
= 1 - [exactly 6 boys] - [exactly 5 boys]
= 1 - (1/2)^6 - 6*(1/2)^6
= 1 - 7*(1/2)^6
= 1 - 7(1/64)
= 1 - 7/64
= 57/64
