Two people, ‘A’ and ‘B’ play a game of dice. 2 dices are continuously being thrown on the table. ‘A’ wins if 12 shows up, ‘B’ wins if two 7′s come up in consecutive throws. Game ends whenever there is a winner. What is the probability that ‘A’ wins?
Every person in this world (assume 7 billion people) has a fair coin except one. One person has a coin which has heads on both sides. A random person is chosen who flips his/her coin 100 times. If it comes out to be heads each time, what is the probability that the person has a fair coin?