Roll three distinguishable dice (e.g., assume that there is a way to tell them apart, for instance, that the dice are three different colors). There are 6 × 6 × 6 = 216 possible outcomes.
Let Bk be the event that the maximum value that appears on all three dice when they are rolled is less than or equal to k. Find P(Bi), P(B2), P(Bs), P(B4,), P{Bf,), and P{B§). If you prefer, you are welcome to just give a general formula that covers all six of these cases, i.e., you are welcome to just give a formula for P(Bk) itself.