There are 8 black balls and 8 white balls in a box and cannot be seen through:

Question

• How many balls must be picked up in order to guarantee there are three balls having the same color
• How many balls must be picked up in order to guarantee there are three white balls

Answer 1

guarantee same color?
worse case, you pick alternative colors.
w b w b then the next has to be w or b. Five.

for three white? Worse case, You have to pick all the black first, so 11.

Answer 2

thank you.