Probability word problem

Question

Sonal has a jar that contains 6 blue marbles and 5 violet marbles. She randomly draws one marble and then draws another marble. What is the probability of drawing two violet marbles if the marbles are drawn without and wiry replacement?

Answer 1

without replacement: 5/11 x 4/10 = 20/110 = 2/11= about 18.18% chance of 2 violets

with replacement: 5/11 x 5/11 = 25/121 = about 20.66% chance of 2 violets