Question

Five fair tetrahedral (four-sided) dice are rolled at the same time. The values on the faces of each die are 1, 2, 3, and 4.a. What is the theoretical probability of rolling a 1 on all five dice?b. Zavier conducted an experiment in which he rolled five fair tetrahedral dice 50 times. He rolled a 1 on all five dice once. What is the experimental probability of rolling a 1 on all five dice?

Answer 1

The probability of an event is the ratio of number of outcome of the event to the total outcome of events.

Thus;

(a) The theoretical probability of rolling a 1 on all five dice is;

`((1)/(4))^5`

(b) In the experiment, he rolled five fair tetrahedral dice 50 times. Thus, the experiment probability of rolling a 1 on all five dice is;

`(1)/(50)`