Suppose you role 3 fair dice What is the probability that yo

Suppose you role 3 fair dice. What is the probability that you will get a 5 on at least one dice?

E be the event that the face 5 will show up at least once.

We know that the sample space S has 6³ outcomes

Event not E = getting not 5

So the number of outcomes in (not E) = 5³.

So, the probability

P(not E) = (# of outcomes in (not E))/(# of outcomes in S) = 5³/6³=125/216.

So,

P(E) = 1 - P(not E) = 1 - 125/216 = 91/216 =0.4213