Question

You have a standard number cube.

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

Answer 1

How many numbers less than 3 are on the cube?

Answer 2

2

Answer 3

Yes, there are 2 numbers less than 3 on the cube. So the probability of rolling one of those numbers is 2/6.
How many prime numbers are on the cube?

Answer 4

2 3 5

Answer 5

Correct. So the probability of rolling a prime number is 3/6. The events are independent, therefore the required probability is the product of the two values of probability:
\[\large P=\frac{2}{6}\times\frac{3}{6}=you\ can\ calculate\]
Note: The fractional result must be simplified.

Answer 6

1/6

Answer 7

That is correct.