Question

A student pulls out a marble from a pag containing blue, green, and red marbles. He records the color and places it back into the bag The table below shows the frequency of
each color after 100 marbles are pulled out
Color of Marbles Blue Green Red
Number of Draws 13 29 58
How many green draws can you expect if the marbles are pulled out 1,000 times?

Answer 1

Answer:

Answer is B - 290.

Step-by-step explanation:

The idea here is that we're assuming the frequency each colour is drawn is a reflection of the proportion of marbles in the bag that are that colour. The more of a particular colour you have, the more likely you are to draw it, and vice versa.

Therefore we can assume the proportion of blue, gree, and red marbles is 13%, 29%, and 58% respectively based on the first 100 draws.

These percents should stay relatively similar as more draws are done, approaching the true proportions of each colour better the higher the number of draws. That means 29%, or 290, of the 1000 draws will be green.

Answer 2

Answer: 290

Step-by-step explanation: