Two dice are rolled. What is the probability that the sum of the dice is at least 5, given that one die is showing a 2.

Answer 1

the sum of the dice is at least 5

one die is showing a 2

2 and 3

2 and 4

2 and 5

2 and 6

4 out of 36 ways to get the sum at least 5 and one die is always 2

Probability = 4/36 = 1/9

Answer 2

Hi,

there are 36 possible combinations rolling two die.

when I did the combinations given that one die is 2. I got 3,4,5,6 as possibilities for the second die. so, I got 4/36 or 1/9.

Answer 3

Hi Areli. Since one die already shows 2, you only have to focus on the other die.

That means to get at least 5 for the sum, the other die has to be 3, 4, 5, or 6. (4 possibilities).

For any die to begin with, the possibilities are 1 through 6 when you roll it. ( 6 possibilities). So you need 3, 4, 5, or 6, out of anywhere from 1 through 6. It means 4 possibilities out of 6, or 4/6. If you need to simplify, it becomes 2/3.

So the probability that the sum is at least 5 is 2/3.

Please consider hiring me as a tutor. Once my schedule is full, I won’t have as much time to provide this help. Thanks!

Answer 4

Hi Areli. Since one die already shows 2, you only have to focus on the other die.

That means to get at least 5 for the sum, the other die has to be 3, 4, 5, or 6. (4 possibilities).

For any die to begin with, the possibilities are 1 through 6 when you roll it. ( 6 possibilities). So you need 3, 4, 5, or 6, out of anywhere from 1 through 6. It means 4 possibilities out of 6, or 4/6. If you need to simplify, it becomes 2/3.

So the probability that the sum is at least 5 is 2/3.

Please consider hiring me as a tutor. Once my schedule is full, I won’t have as much time to provide this help. Thanks!