Question

CalculatorA bag of markers contains:• 4 yellow markers6 green markers2 red markers3 pink markers5 purple markersJackson chose a marker from the bag at random and then replaced it. He did that a total of 100 times. What is a reasonableprediction for the number of times Jackson chose a purple or green marker?..

Answer 1

Suppose that the different markers are indistinguishable from one another except for their color.

Therefore, the probability of grabbing a purple marker is

`P(purple)=(5)/(4+6+2+3+5)=(5)/(20)`

While the probability of taking a green marker is

`P(green)=(6)/(20)`

Thus, the probability of choosing a purple or green marker is

`\begin{gathered} P(purple\cup green)=(5)/(20)+(6)/(20)=(11)/(20) \\ \end{gathered}`

Finally, multiply the probability above by the 100 trials,

`100*(11)/(20)=5*11=55`

Therefore, the answer is 55 markers.