It doesnt mention if they really sees what colors the hats are before or if he tells them, but cuz of ur writing etc i take it for sure that they know how many of each color etc it exists...
the the hats that are removed can be ; 2 blue, 2 pink, 1 blue & 1 pink ...
The only way to know for sure what color you got is to see 2 pink hats on the other 2 heads...
So, if girl 1 can't say which color it means that she DOESNT sees 2 pink which gives --- 2 blue or 1 blue and 1 pink.
Girl 2 can't say which color she has got.. ----- 2 blue or 1 blue 1 pink
This gives some different scenarios;
Girl 1. She sees 2 blue hats ---- this means that he could have taken away 2 pink hats OR 1 pink and 1 blue
She sees 1 pink & blue --- means he could have taken away 1 pink & blue OR 2 blue
If she sees 2 blue hats, the 2nd girl cant see 2 blue... that means that she can only see 1 blue 1 pink or 2 pink , and we can take away 2 pink cuz then she would know that she has a blue... so girl 2 sees 1 blue & pink...cuz she doesnt know.
In this case the blind girl thinks; there must be 2 blue and 1 pink or 3 blue hats on our heads. -- --- she cant decide
If she sees 1 blue & 1 pink, the 2nd girl can see 2 blue or 1 pink and 1 blue.. this makes the scenario for the blind girl
and the blind girl thinks; there must be 2 pinks and 1 blue or 2 blue och 1 pink on our heads.
But she cant really say what color she has got on her head.. cuz she cant see anything
and it doesnt give that much info either...
SHE CAN SAY that it's highest possibilty that she has a blue hat
she can say that it is 2/3 chance that she has got a blue hat
she says that it exists 4 possiblitys;---------- 1--- 2--- 3 ----4
GIRL 1 blue blue blue pink
GIRL 2 blue blue pink pink
BLIND blue pink blue blue
this must be the correct answer... it's impossible to tell the color