Simple math question

Say I had a bet whereby I had to win at least 5 out of 6 coin flips. Short of manually adding up every possible outcome of the series of flips, how would I go about figuring my odds of winning? Thanks.

There are 7 ways you can win:

WWWWWL
WWWWLW
WWWLWW
WWLWWW
WLWWWW
LWWWWW
WWWWWW

There are 2[sup]6[/sup] total sequences of a coin flipped 6 times.

7/64

The solution is given by the binomial distribution with n = 6, p = .5. So P(X>=5) = 1- P(X<=4) = 1 - .8906 = .1094, about 11%.