Jar A has 2 red marbles, 4 green marbles, and 3 blue marbles. Jar B has 4 pink marbles, 6 purple marbles, and 2 white marbles. Marcy randomly chooses 2 marbles from Jar A, then 2 marbles from Jar B, without replacement in each case. What is the probability that she gets 1 purple marble, 1 pink marble, and 2 green marble?