Question

What the probability that some body rolled a 3 both times on a number cube?

Answer 1

`=>1/36`

Explanation:

A cube has six faces. Assuming all faces are unique (as on a traditional number cube), the number `3` appears only once. That means there is a `1/6` probability of rolling a `3` once.

Since consecutive rolls of the cube are independent events (no event affects a future event), compound probability is computed as a product of the individual probabilities of all events.

So for roll 1, probability of `3` is `1/6`.

For roll 2, probability of `3` is also `1/6`.

Total probability of getting `3` on both roll 1 and roll 2 is:

`=1/6 xx 1/6 = 1/36`