In: Statistics and Probability
We have a box with 9 green M&M's and 4 white M&M's. Draw 3 M&M's from the box without replacement and record their colors (Do not eat them!) and then put them back in the box. Repeat this procedure 20 times. Let X denote the number of times that the procedure (drawing 3 M&M's) resulted in exactly 3 green M&M's out of the 20 repetitions. What is the probability that a single performance of the procedure (drawing 3 M&M's) resulted in exactly 3 green M&M's? Round your answer to 4 decimal places.