Winning 1 coinflip out of 16?

[samr]

Took 16 coinflips today (pair v overs or overs v pair) and won one of them. What is the odds of that?

Is this an application of the Bernoulli theorem?

win pct: w = 0.5
lose pct l = 0.5
(w + l)^16, find 16 c 15 w^1 * l^15

= 16 * .5^1 * .5^15 = 2^4 * 2^-16 = 2^-12 = 1 in 4096.