There are 6 blue marbles, 9 purple marbles, 4 orange marbles, and 3 green marbles in a bag. If Sally picks two marbles without replacement, what is the probability of getting one orange and one purple marble?

1 answer

orange = 4/22
then purple = 9/21
4/22 * 9/21 = (2/11)(3/7) = 6/77
or
purple = 9/22
then orange = 4/21
so 6/77 again
add them 12/77