I will give brainliest to one of the correct answers. Marti rolls two dice. What is the probability that the sum of the dice is 7, given that the first die is showing a 2?
Please only answer if you know.

1/6

Step-by-step explanation:

Since the first dice is already two the second one has to be 5, and there are 6 sides on a dice and one side that is 5, the probability is

1/6

option b is correct

Step-by-step explanation:

In the options a, c and d we have to check if 2 is a root.

The coefficients of  f(x) = 3x^3 + 10x^2 + 4x - 8 are: 3, 10, 4 and -8.

The division of f(x) by (x-2) using synthetic division is:

2          3             10             4              -8

                           6             32              72

           3             16            36              64

The remainder is 64, so 2 is not root of f(x); if it was the remainder would be zero. This result makes options a, c and d incorrect.

The division of f(x) by (x+2) using synthetic division is:

-2          3             10             4              -8

                           -6             -8              8

            3               4            -4               0

The remainder is 0, so -2 is root of f(x).

The division of f(x) by (x-2/3) using synthetic division is:

2/3        3             10             4              -8

                           2               8               8

            3               12           12             0

The remainder is 0, so 2/3 is root of f(x). Then, option b is correct