A bag contains 5 blue, 4 red, 9 white, and 6 white marbles. If a marble is drawn at random and replaced 100 times, how many times would you expect to draw a green marble?

Answer: 12/50

If there is 5 blue, 4 red, 9 white, and 6 white marbles I wouldn't expect to draw a green marble however many times I drew marbles. Reexamine your question.

Sorry it is 5 blue 4 red 9 white 6 green

To solve this problem, we need to find the probability of drawing a green marble and then multiply it by the number of times the marble is replaced.

First, let's find the total number of marbles in the bag:
Total marbles = 5 blue + 4 red + 9 white + 6 green = 24 marbles

Since the marble is replaced after each draw, the probability of drawing a green marble remains constant throughout the 100 draws. Therefore, the probability of drawing a green marble is:
P(green) = number of green marbles / total number of marbles = 6 / 24 = 1/4

Next, we multiply the probability of drawing a green marble by the number of times the marble is replaced:
Expected number of green marbles = P(green) * number of replacements = 1/4 * 100 = 25/4 = 6.25

However, since we can't have a fraction of a marble, the expected number of green marbles will be rounded to the nearest whole number:
Rounded expected number of green marbles = 6

Therefore, you would expect to draw a green marble approximately 6 times after 100 draws.