(5 marks) You and three other friends are playing a game which involves taking turns flipping a coin until the first heads is flipped. Let p be the probability of flipping heads on any random flip and assume all flips are independent. The first person to flip heads wins the game. If you go last and the probability that you flip the first head is 0.15, what is the probability of flipping heads on any random flip? Note: "Going last" means you flip on the 4 th , 8 th , 12th, ...etc. trials until the first heads is observed.