Need to check my work on this question.

"A bag has 27 blue marbles and 6 red marbles. If you draw 2 marbles without replacement, what is the probability you draw no red marbles?"

first attempt = 6/33 = 0.182 = 100 - 18.2 = 81.8% not red

second attempt = 6/32 = 0.188 = 100 - 18.8 = 100 - 18.8 = 81.8% not red

should it be:

first attempt = 27/33 x 6/33 = 0.82 x 0.182 = 0.1492 = 14.924 % not red

second attempt = 27/32 x 6/32 = 0.844 x 0.19 = 0.16036 = 16.036% not red

Where is my logic wrong?

Thank you in advance