Create the probability model, that is find the probability of getting a sum of 2,3,..., 12.

Note: since we do not have data will have to rely on the classical method to find out the probabilities. To do this you will need to map out all the outcomes for rolling two dice. I will get you started: You could have two 1's or the first dice is a 1 and the second is a two or the first dice is a two and the second dice is a one. {(1,1),(1,2),(2,1),...}. There are 36 possible outcomes and the face on each dice is equally likely, each of these 36 possible outcomes is equally likely. Remember that our goal is to look at the distribution of the sum. The sum for the three examples I gave are 2,3, and 3, and notice these are the only ways to get a sum of 2 or 3. Thus the probability of getting a sum of two is 1/36 and the probability of getting a sum of 3 is 2/36. Write all answers as fractions as I did above (no spaces) without reducing the fraction.

Sum	Probability
2	1/36
3	2/36
4	3/36
5	4/36
6	5/36
7	6/36
8	5/36
9	4/36
10	3/36
11	2/36
12	1/36

Draw an appropriate graph by hand for the probability distribution of the sum of two six-sided dice. Upload the image.

Calculate the probability of getting a sum of 1, 2, or 3. Round to 3 decimal places.

Calculate the probability of getting a sum of 10, 11, or 12. Round to 3 decimal places

Calculate the probability of getting 6, 7, or 8. Round to 3 decimal places.

Calculate the probability of rolling two sixes when using two six-sided dice. Round to three decimal places.

Calculate the probability of rolling two of the same number(it doesn't matter what the number is) when using two six-sided dice. Round to three decimal places.