21 Mar
2016
21 Mar
'16
9:06 p.m.
Show that, for any bias p < 1/2, and any positive integer n, if you take a biased coin that shows heads with probability p and toss it n times, the number of times the coin shows heads is likelier to be even than odd. I know one proof (by way of an exact formula for the probability in question) but I'll bet some of you will find other ways to prove this. Jim Propp