Abag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. lashonda chooses a marble at random, and without putting it back, chooses another one at random. what is the probability that both marbles she chooses are blue? write your answer as a fraction in simplest form.

The number of blue marbles is 2 and the total number of marbles is 9. This means that 2/9ths of the marbles are blue. Therefore the probability of Lashonda picking a blue marble the first time is also 2/9. If she picked a blue one the first time, the number of blue marbles and the total number of marbles would would both decrease by 1. This would make the probability of choosing a blue marble 1/8. To find the probability of both marbles being blue, you multiply the two probabilities of choosing one blue marble together (2/9 x 1/8). The product is 1/36th.