Class summary:
Wednesday, 2/26
I continued with combinatorial probability problems. I did several
examples of
so-called box/ball type problems (which concern samples of balls drawn
from a box containing a given number balls of each of two or more
different types - say red
and blue balls), including the "committee problem"
and the "lottery problem".
I also discussed the "elevator problem" (6 people get into an elevator
in a building with 10 floors; what is the probability that at some floor
more than one gets off?), which is mathematically equivalent to
the birthday problem, and a variant
which asks for the probability that exactly
two people get off at the same floor and the others get off at a
different floor.
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