Cube and Dice Reasoning Questions

1. Two standard six-sided dice are rolled. What is the probability that the sum of the two numbers rolled is 2?

1/6

1/9

1/12

1/18

2. A standard six-sided die is rolled. What is the probability of rolling a number that is a factor of 42?

1/6

1/3

1/2

2/3

3. A standard six-sided die is rolled. What is the probability of rolling a number that is a factor of 20?

1/6

1/3

1/2

2/3

4. If three fair six-sided dice are rolled, what is the probability of getting a sum of 18?

1/216

1/108

1/72

1/36

5. A standard six-sided die is rolled. What is the probability of rolling a prime number?

1/6

1/3

1/2

2/3

6. If a dice is rolled once, what is the probability of getting an even number?

1/2

1/3

2/3

1/6

7. A cube is painted blue on all its faces and then cut into 125 smaller cubes of equal size. How many smaller cubes have exactly two blue faces?

24

36

48

60

8. If a dice is rolled 3 times, what is the probability of getting at least one 6?

1/6

1/2

91/216

125/216

9. Two standard six-sided dice are rolled. What is the probability that the sum of the two numbers rolled is 11?

1/6

1/9

1/12

1/18

10. A standard six-sided die is rolled. What is the probability of rolling a number that is a factor of 24?

1/6

1/3

1/2

2/3