Question

5 12-sided dice are rolled. Let Z be the smallest of the numbers rolled. What is P(Z = 5)?

Hint:P(Z = k) = P(Z ≥ k) − P(Z > k) because Z is integer-valued.

Answer 1

Solution:-

We are rolling 5 12-sided lice.

Let Z be for the smallest ao the numbers rolled.

Then,

as there are only five favourable cases out of 12 cases similarly,

As it is obvious P(Z = k) = P(Z ≥ k) − P(Z > k)

useful k is an integer.