Question

two fair number cubes are rolled at the same time. what is the probability that both number cubes have the number four facing up?

Answer 1

The probability that both number cubes have the number 4 facing up is 1/36

For a cube, we have the numbers 1,2,3,4,5 and 6

The number 4 only occurs once in the six

So, the probability of having the number 4 in a single roll is 1/6

Now, for two rolls, we have two probabilities which we will have to multiply

Thus, we have the probability as;

`(1)/(6)*(1)/(6)\text{ = }(1)/(36)`