The probability that all three marbles taken out are green in color would be 4 / 91
How to find the probability ?
To find the probability that all three marbles taken out are green, you can use the concept of conditional probability.
The probability of the first marble being green is 8/14 because there are 8 green marbles out of a total of 14 marbles. After the first green marble is drawn, there are now 7 green marbles left and a total of 13 marbles left in the bag.
Calculate the overall probability by multiplying these probabilities together:
Probability = (8/14) x (7/13) x (1/2)
Now, calculate the product:
Probability = (4/7) x (7/13) x (1/2)
Probability = 4 / 91