Question

Find the probability of rolling a 5 or greater on the first die and a 2 or greater on the second die

Answer 1

1/3, 5/6, and 5/18.

Explanation:

If a die has 6 sides, then because there are 2 sides equal or greater than 5 (5 and 6), then there is a 2/6 or 1/3 chance of rolling the first die. On the second roll, there are 4 sides equal or greater than 5 (2, 3, 4, 5, and 6), so there is a 5/6 chance of rolling it. To find the probability of both happening, multiply 1/3 by 5/6 to get 5/18.

Answer 2

The probability is 1/9

Explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are 3, 4, 5, 6

So the probability of rolling a number out of these four is 4/6

So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be

1/6 * 4/6 = 4/36 = 1/9