Originally posted by Acolyte
This one's not hard if you spot the answer, but I think it deserves a little explanation (sorry royalchicken, no elaborate proofs required):
Vaknso and Rhymester are playing a game. Vaknso tosses a coin 10 times, Rhymester only 9; both ...[text shortened]... uming neither cheats, what is the probability that Rhymester wins?
I'm afraid I don't know why. But the answer is 50/50, because there are 110 possible outcomes, and vaknso wins 55 of them. Actually there it is... some of them must be draws...
I cheated and resorted to programming to solve... (sorry about the formatting, this poorly designed site doesn't deal with indentation properly
int totalCombos = 0;
int vaknsoWins = 0;
for (int vaknso=0; vaknso<=10; vaknso++)
for (int rhymester=0; rhymester<=9; rhymester++)
if (vaknso > rhymester)
float ratio = (float)vaknsoWins / totalCombos;
System.out.println(vaknsoWins + "/" + totalCombos + " = " + ratio);