A bag holds 5 red marbles, 7 green marbles, and 4 yellow marbles. If marbles are not returned to the bag after being drawn, what is the probability that the first marble will be red and the second marble will be yellow.

Total number of marbles = 5+7+4 = 16 marbles

Probability of picking a red marble = 5/16

Because the red marble is not returned back after being picked up, the total number of marbles is now 15.

Now,

Probability of picking a yellow marble = 4/15

The probability of picking a red and yellow marble will be the product of these two probabilities which will = 5/16 x 4/15 = 1/12