Answer:
Dependent
18.46%
Step-by-step explanation:
All possible combinations for Sadie taking two marbles out from the hat:
[tex](6+2+2+4+2)×[(6+2+2+4+2)-1] [/tex]
[tex] = 16 \times 15[/tex]
[tex] = 240[/tex]
All the possible combinations that the first marble is brown and the second marble is not purple:
[tex]2 \times (6 + 2 + 1 + 4)[/tex]
[tex] = 2 \times 13[/tex]
[tex] = 26[/tex]
The probability:
[tex] \frac{240}{26} \times 100\%[/tex]
[tex] = \frac{240}{13} \times 50\%[/tex]
[tex] = \frac{1200}{13} \%[/tex]
[tex]≈18.46%[/tex]