How do you use the Counting Principle to find the probability of rolling a 4 on each of 4 number cubes?

1 Answer

#(1/6)(1/6)(1/6)(1/6)=1/6^4=1/1296#

Explanation:

According to the Counting Principle, if there are two or more independent events, you find the probability of both/all of them happening as the product of their individual probabilities. In this case we have 4 independent rolls of the die and so we'll multiply the 4 probabilities together.

The probability of each roll to get a 4 on a 6-sided cube is #1/6#. This means that the probability of rolling a 4 on each of four number cubes is:

#(1/6)(1/6)(1/6)(1/6)=1/6^4=1/1296#