Final answer:
The probability that Mark draws a yellow marble and then a green marble from the bag is 1/9.
Step-by-step explanation:
In this scenario, the bag contains four green marbles, three red marbles, and two yellow marbles. Mark draws two marbles from the bag without replacement. To find the probability that he draws a yellow marble and then a green marble, we need to multiply the probabilities of each event happening.
The probability of Mark drawing a yellow marble on his first draw is 2/9 (since there are 2 yellow marbles out of 9 total marbles remaining in the bag after the first draw).
The probability of Mark drawing a green marble on his second draw, given that he drew a yellow marble first, is 4/8 (since there are now 4 green marbles remaining out of 8 total marbles remaining in the bag).
To find the overall probability, we multiply these two probabilities: 2/9 * 4/8 = 8/72 = 1/9.
Therefore, the probability that Mark draws a yellow marble and then a green marble is 1/9.