Let's begin by listing out the information given to us:
From 30 trials: red = 10, yellow = 14, blue = 6
[tex]\begin{gathered} P(blue)=\frac{No.(blue)}{\text{Total}}=\frac{6}{30}=\frac{1}{5} \\ P(blue,30)=\frac{1}{5} \end{gathered}[/tex]
For 300 trials, the number of times blue is picked is given by:
[tex]\begin{gathered} P(blue,300)=P(blue,30)\cdot No.(trials)=\frac{1}{5}\cdot300 \\ P(blue,300)=60 \end{gathered}[/tex]
Ashley will pull out blue marble 60 times from 300 trials, therefore, option B is the correct answer
