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This month’s puzzle is in three parts.
- Dr. Bumble
has a box of socks in his closet containing 5 black socks
and 5 blue socks. He wants to be certain
his socks match, but cannot see the colors
since his closet is completely dark due to an electricity outage. What is the
smallest number of socks that Dr. Bumble needs to remove from the box in order
to be certain of having two socks the same color?
- Being a Professor of Statistics,
Dr. Bumble is willing to accept a bit of uncertainty in
his life, but he does want to have at least an even chance
of
getting two socks that match. How many socks does he need to remove from the
box for this to be the case?
- After he gets dressed, with matching socks, Dr.
Bumble wonders how many socks he would have needed to pull
out of the box to have at least an even
chance of
getting two socks that match if there were an infinite number of socks, half
blue and half black.
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