Question
Two persons throw a die alternatively till one of them gets a three and wins the game. Find their respective probability of winning.
Solution
Let E be the event of getting 3 in a throw of die.
Any person who starts the game can win in the first throw, 3rd throw, 5th throw and so on.
probability of winning A
Since either of two person wins
probability of winning B = 
required probabilities are 
