Answer: 9/116
================================================
Step-by-step explanation:
There are 7 sugar cookies
This is out of 9+6+7+7 = 29 total cookies
The probability of getting a sugar cookie is 7/29
After that cookie is selected, the total drops to 29-1 = 28 cookies. The probability of getting a chocolate chip on the second selection is 9/28
Multiply the fractions mentioned to get the final answer
(7/29)*(9/28) = (7*9)/(29*28) = (7*9)/(29*7*4) = 9/(29*4) = 9/116