Date: Apr 3, 2013 9:57 AM
Author: concept
Subject: Expected number of questions to win a game
Let, a person is taking part in a quiz competition.

For each questions in the quiz, there are 3 answers, and for each correct answer he gets 1 point.

When he gets 5 points, he wins the game.

But, if he gives 2 consecutive wrong answers, then his points resets to zero (i.e. if his score is now 4 and he gives 2 wrong answers, then his score resets to 0).

My question is, on an average how much questions he needs to answer to win the game?

Plz, someone give answer.