Suppose that the different markers are indistinguishable from one another except for their color.
Therefore, the probability of grabbing a purple marker is
[tex]P(purple)=\frac{5}{4+6+2+3+5}=\frac{5}{20}[/tex]While the probability of taking a green marker is
[tex]P(green)=\frac{6}{20}[/tex]Thus, the probability of choosing a purple or green marker is
[tex]\begin{gathered} P(purple\cup green)=\frac{5}{20}+\frac{6}{20}=\frac{11}{20} \\ \end{gathered}[/tex]Finally, multiply the probability above by the 100 trials,
[tex]100*\frac{11}{20}=5*11=55[/tex]