Sita and Gita throw a dia alternatively till one of them gets a 6 to win the game. Find their respective probability of winning if Sita starts first.

Three persons hit a target with probabilities (1/2) , (1/3) and (1/4) respectively. If each one shoots at the target once, (i) find the probaility that exactly one of them hits the target, (ii) if only one of them hits the target what is the probability that it was the first person?

A and B throw a pair of dice alternately. A wins the game, if he gets a total of 6 and B wins, if she gets a total of 7. If A starts the game, then find the probability of winning the game by A in third throw of the pair of dice.