## anonymous one year ago You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number?

1. kropot72

How many numbers less than 3 are on the cube?

2. anonymous

2

3. kropot72

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?

4. anonymous

2 3 5

5. kropot72

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.

6. anonymous

1/6

7. kropot72

That is correct.