This table shows the possible outcomes when two regular dice are rolled and their dots added togetuies. The probability of getting a sum of 2 is 1/(36 ^ 3) the probability of getting a sum of 3 is 1 2/36 and so on.

Die-1

5

7

7

1

1234567

45678

6849

Die-2

23456

3456789

234567

14

9

10

6849012 11

10

11

8

I plan to replace the 2 on die-1 with an 8. Die-1 will now look like:

"Create a" new die-2 so that the probabilities of the sum remain the same (i.e. so that the probability of getting a sum of 2 is still 1/(36') the probability of getting a sum of 3 is still 2 36^ + and so on). Clearly describe the new die-2. (4 points)

New Die-1

3 4

6

New Die-2

8

5

9

10

11

12

2 = 1/36 3 = 2/36 4 = 3/36 5 = 4/36 6 / (5/36) 7 = 6/36 9 = 4/36 10 = 3/36 11 = 2/36 12= 136

8 = 5/36