There are 30 coins. While 29 of them are fair, 1 of them flips heads with probability 60%. You flip each coin 100 times and record the number of times that it lands heads. You then order the coins from most heads to least heads. You seperate out the 10 coins that flipped heads the most into a pile of "candidate coins". If several coins are tied for the 10th most heads, include them all. (So your pile of candidate coins will always contain at least 10 heads, but may also include more).

Use the Monte Carlo method to compute (within .1%) the probability that the unfair coin is in the pile of candidate coins.