On 1 Apr 2005 23:13:09 -0800, "Joseph A." <email@example.com> wrote:
>You have up to 3 rolls of an unbiased six-sided dice, and your aim is >to obtain the highest result from a single roll of the dice. After the >first and second rolls of the dice you can choose to stop (and accept >the result), or you can choose to roll again. What is the optimal >strategy and its expected payoff?
"optimal strategy" implies weighing pro and con for alternatives.
What is the cost of doing one more roll? You have not stated any cost, so it would always be of advantage to roll again (unless you already have a 6).
> >--- > >obviously if you roll a 6 in either the first 2 rolls, then stop and >accept the result. otherwise, its a bit harder. i see this only >intuitively and cannot translate the problem into reasonable >mathematics. any suggestions?