What's the theoretical frequency for this assignment? any help is appreciated!

Question

I mainly just need need help finding the theoretical frequency for the sums on two dice (see the table below). Thanks for helping!

Instructions: Pretend the two dice are different colors. This gives us a way to organize the outcomes to figure out the theoretical probabilities of getting each sum.

In the picture pretend the BOLD dice on the left is colored (say GREEN) and the one on the right is WHITE.

The result of rolling two dice is obtained by adding the result on the green die and on the white die.

Count the number of outcomes for each sum in the sample space above and write it in the frequency table below. Calculate the relative frequencies to find the theoretical probabilities. Express the relative frequencies in decimal form, accurate to three decimal places. For the denominator the total number of items is 36 outcomes, as is show in the sample space diagram above.

Table 2 – Two Dice Theoretical Results

Sum on two dice	Theoretical Frequency	Relative Frequency
2
3
4
5
6
7
8
9
10
11
12

Answer 1

Frequency for the sum of 2 and 12: 1 → 1/36

Frequency for the sum of 3 and 11: 2 → 2/36

Frequency for the sum of 4 and 10: 3 → 3/36

Frequency for the sum of 5 and 9: 4 → 4/36

Frequency for the sum of 6 and 8: 5 → 5/36

Frequency for the sum of 7: 6 → 6/36

Relative Frequency for the sum of 2: 1 → 1/36 ≈ 0.0278

Relative Frequency for the sum of 3: 1 + 2 = 3 → 3/36 ≈ 0.0833

Relative Frequency for the sum of 4: 3 + 3 = 6 → 6/36 ≈ 0.167

Relative Frequency for the sum of 5: 6 + 4 = 10 → 10/36 ≈ 0.278

Relative Frequency for the sum of 6: 10 + 5 = 15 → 15/36 ≈ 0.417

Relative Frequency for the sum of 7: 15 + 6 = 21 → 21/36 ≈ 0.583

Relative Frequency for the sum of 8: 21 + 5 = 26 → 26/36 ≈ 0.722

Relative Frequency for the sum of 9: 26 + 4 = 30 → 30/36 ≈ 0.833

Relative Frequency for the sum of 10: 30 + 3 = 33 → 33/36 ≈ 0.917

Relative Frequency for the sum of 11: 33 + 2 = 35 → 35/36 ≈ 0.972

Relative Frequency for the sum of 12: 35 + 1 = 36 → 36/36 = 1.000