Answer:
The probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{51}{105}[/tex].
Step-by-step explanation:
There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is [tex]\frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}[/tex].
