View All num of num Add Photos Madison Tyler Holdings www.madisontyler.com Unclaimed Profile Overview Reviews Salaries Interviews Jobs Photos Benefits 2 Reviews 18 Salaries 29 Interviews Follow Add Interview Follow Add Interview Interview Question Trading Analyst Interview Sydney (Australia) Madison Tyler Holdings There are 5 coins on a table. One of them has a heads on both sides. If you pick up one of the coins and flip it 5 times and get heads each time what is the probability that you have picked up the double sided coin? Tags: See more , See less 8 Answer Add Tags Answer Interview Answer 3 Answers ▲ 0 ▼ 8/9 Interview Candidate on May 24, 2011 ▲ 0 ▼ Total possibilities that lead to 5 heads in 5 flips:chose the double head coin + 2^5 possible results = 32pluschose any of 4 other coins and flipped HHHHH = 4So the total number of states that lead to 5 heads is 36. In 32 of them, you chose the double-headed coin, so your chances of having picked the double headed coin, given that you flipped 5 heads is32/36 = 8/9 fizixgeek on Feb 14, 2012 ▲ 0 ▼ There is only one double sided coin. So the probability is equal to the probability of getting the double sided coin and flipping five heads which is (1/5)*1 plus the probability of getting one of the other four normal coins and flipping 5 heads which is (4/5)*(1/2)^5 Anonymous on Jun 13, 2014 Interviews > Trading Analyst > Madison Tyler Holdings Add Answers or Comments To comment on this, Sign In or Sign Up.