This is a 4 step problem.
Find the probability of drawing a green marble the first time
8 green marbles ÷ 17 total marbles
Next, we find the probability of drawing a green marble the second time
7 green marbles ÷ 16 total marbles
Find the probability of drawing a green marble the third time
6 green marbles ÷ 15 total marbles
We take away one from the total marbles and green marbles each time because we are finding the probability that we draw a green marble all three times
Last step:
Multiply all the probabilities
[tex]\frac{8}{17}[/tex] × [tex]\frac{7}{16}[/tex] × [tex]\frac{6}{15}[/tex]
The final answer is 7/85 or an 8% chance
If you were curious, the decimal version of this answer is 0.08235294
