Final answer:
The probability of drawing a white marble without replacement after the first green marble has been drawn is 2/3, as there are 14 white marbles and 21 marbles in total left.
Step-by-step explanation:
The student is looking for the probability of choosing a white marble from a box that initially contained 8 green marbles and 14 white marbles, after a green marble has been chosen first without replacement. Since one green marble has been removed, there are now 7 green marbles and 14 white marbles left in the box, bringing the total to 21 marbles. To find the probability of now drawing a white marble, we divide the number of white marbles by the total number of marbles left:
Probability of drawing a white marble = Number of white marbles / Total number of marbles left = 14 / 21
This simplifies to 2 / 3. Therefore, the probability of drawing a white marble without replacement after the first green marble has been drawn is 2 / 3.