Happy Wimbledon. Another teatime puzzle.
Let’s say we have a player with an extremely powerful but inconsistent serve. Half the time she aces, half the time she faults. What is the probability that she wins her service game?
Sean Eberhard's mathematics blog
Happy Wimbledon. Another teatime puzzle.
Let’s say we have a player with an extremely powerful but inconsistent serve. Half the time she aces, half the time she faults. What is the probability that she wins her service game?
Here is a teatime puzzle.
Suppose is a finite group and
is a subset containing the identity such that
whenever
,
, and
. Show that these are the only possibilities:
What other possibilities are there if we do not assume ?