In many board games it is necessary to 'throw a six with an ordinary die' before a player can start the game. Write down, as a fraction, the probability of a player
(a) starting on his first attempt,
(b) not starting until his third attempt,
(c) requiring more than three attempts before starting.
What is
(d) the most common number of throws required to obtain a six,
(e) the mean number of throws required to obtain a six?