Final answer:
After removing 1 yellow and 2 red marbles from the bowl, the probability of the next marble being yellow is 3 yellow marbles left divided by 10 total marbles remaining, which is 3/10, not matching any given options.
Step-by-step explanation:
To find the probability of drawing another yellow marble after one yellow marble and two red marbles have been removed from a bowl containing 4 yellow marbles, 5 red marbles, 1 blue marble, and 3 green marbles, we must update the composition of the bowl and calculate the probability based on the new counts.
Initially, there are 4 + 5 + 1 + 3 = 13 marbles. After removing 1 yellow and 2 red marbles, there are 3 yellow, 3 red, 1 blue, and 3 green marbles left, totaling 3 + 3 + 1 + 3 = 10 marbles.
The probability P(next marble removed is yellow) is now the number of yellow marbles left divided by the total number of marbles remaining:
P(yellow) = 3 yellow marbles / 10 total marbles = 3/10
However, since the provided options for the answer do not include 3/10, there seems to be a discrepancy. Thus, it appears there might have been a misunderstanding of the problem or a typo in the provided options. It is important to recheck the initial conditions and the process to ensure the probability calculations are correct based on the question's parameters.