I was recently playing a quite easy dice game: You trow a fair dice: if you get a "3" the next player continues, if you get something else it is up to you to continue. If you continue and you throw ...
Assume we toss a dice until odd number appears four consecutive times, and in such a case we stop the game. Let $N$ be the total number of times we will toss the dice. Find $E[N]$. Lets say for ...