If anybody's curious about the math, it's pretty simple. Assume p is the probability of flipping heads. Then, pp is the probability of flipping 2 heads, (1-p)(

If anybody's curious about the math, it's pretty simple. Assume p is the probability of flipping heads. Then, pp is the probability of flipping 2 heads, (1-p)(1-p) is the probability of flipping 2 tails, (1-p)p is the probability of flipping tails then heads, and p(1-p) is the probability of flipping heads then tails. So, basically p^2 + (1-p)^2 + p(1-p) + (1-p)p = 1. Then, we ignore the first 2 terms (since that's when the results match and we start over), and we're only left with the p(1-p) case and the (1-p)p case. These are equally likely, and the first coin is heads in the first case and tails in the second.