Quote (Panjos @ Jan 11 2016 04:56pm)
Just to break this down... instead of just having the solution
Your odds of losing are 5 out of 6, since 1 out of 6 is a win.... hence the 5/6.... and this is repeated 21 times... This same formula can be applied in almost all statistics.
This is indeed true for all (?) statistics, i.e. that you take the expected value for your desired result and multiply with "itself" as many times as the process is repeated. For other distributions the formula become different. This is however only true for independent processes, i.e. that if the return of a try is not dependent on other tries.