A fair coin is flipped 2k times. What is the probability that it comes up tails more often than it comes up heads? I'm studying for a probability exam and came across this question. I watched the video solution to it but I don't really understand it. I was hoping someone could explain this problem to me. Are there different ways to go about this? 

Hint:


*

*Fair coin $\implies$ Probability of tails occurring more $=$ probability of heads occurring more $= p$, say.

*Probability of exactly equal number of heads and tails $=1-2p$.  Can you find this one?
