First I deal with the obvious, If you get a 6 you stop and if you get a 1 your out of luck. So I guess all the question is really asking if wheater it is worth trying for a second roll if you get say a 2 , 3 ,4 or 5. I am having trouble defining a probability distribution for this.You play the following game. You throw a six-sided fair die repeatedly. You may choose
to stop after any throw, except that you must stop if you throw a 1. Your score is the
number obtained on your last throw. Determine the strategy that you should adopt in order
to maximize your expected score, explaining your reasoning carefully.