Question

9. Ashley placed marbles in a bag and pulled them out at random. She performed the experiment 30 times. The table shows the outcomes. Based on the table, how many times could we predict she would pull a blue marble out of 300 trials? a) 30 b) 60 c) 140 d) 6

Answer 1

Let's begin by listing out the information given to us:

From 30 trials: red = 10, yellow = 14, blue = 6

`\begin{gathered} P(blue)=\frac{No.(blue)}{\text{Total}}=(6)/(30)=(1)/(5) \\ P(blue,30)=(1)/(5) \end{gathered}`

For 300 trials, the number of times blue is picked is given by:

`\begin{gathered} P(blue,300)=P(blue,30)\cdot No.(trials)=(1)/(5)\cdot300 \\ P(blue,300)=60 \end{gathered}`

Ashley will pull out blue marble 60 times from 300 trials, therefore, option B is the correct answer