Answer:
[tex]\frac{16}{225}[/tex]
Step-by-step explanation:
When attempting probability problems we want to figure out the chances of something happening. This turns into something like:
[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]
In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.
Since we want to first draw a red marble the chance of that happening would be:
[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.
[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]
All that's left is to multipy the values we got:
[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]
That's our answer.
