The number of chips of different colors in Amy's bag is shown below:

8 blue chips
9 pink chips
1 white chip
Amy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Amy takes out a pink chip in both draws?9 over 18 multiplied by 8 over 17 equals 72 over 306

9 over 18 plus 8 over 17 equals 297 over 306

9 over 18 multiplied by 9 over 18 equals 81 over 324

9 over 18 plus 9 over 18 equals 18 over 18

The correct calculation is 9/18 for the first draw and 8/17 for the second draw, which equals 72/306 or simplifies to 12/51, which further simplifies to 4/17.

Therefore, the probability that Amy takes out a pink chip in both draws is 4/17.

9 over 18 multiplied by 8 over 17 equals 72 over 306

9 over 18 plus 8 over 17 equals 297 over 306

9 over 18 multiplied by 9 over 18 equals 81 over 324

9 over 18 plus 9 over 18 equals 18 over 18 pick one

9/18 multiplied by 8/17 equals 72/306, which simplifies to 4/17.

Therefore, the probability that Amy takes out a pink chip in both draws is 4/17.