with 1025 coins the numbers are nice: 1024/1025 * 1/1024 = 1/1025 (probability of unbiased coin, 10 heads) 1/1025 (probability of biased coin & 10 heads) relat

with 1025 coins the numbers are nice: 1024/1025 * 1/1024 = 1/1025 (probability of unbiased coin, 10 heads) 1/1025 (probability of biased coin & 10 heads) relative probability = .5 the answer is then precisely 3/4