You have a standard number cube.

what is the probability of rolling a number less than 3, and then rolling a prime number?

 The required probability is

Step-by-step explanation:  Given that we have a standard number cube.

We are to find the probability of rolling a number less than 3 and then rolling a prime number.

Let S denote the sample space for the experiment of rolling a number cube.

Then, S = {1, 2, 3, 4, 5, 6}   ⇒  n(S) = 6.

Let A and B be the events of rolling a number less than 3 and rolling a prime number.

Then, A = {1, 2}  and  B = {2, 3, 5}.

That is, n(A) = 2  and  n(B) = 3.

Therefore, the probability of rolling a number less than 3, and then rolling a prime number is given by

Thus, the required probability is

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