The below was the answer I received when I asked the following question. Dr. Deming’s Red Bead Experiment is an exercise in the laws of probability. The workers were frustrated because no matter what they did, the outcome was not predictable. If the paddle holds 50 beads and there are 500 white beads and 50 red beads in the box, what is the probability, using one sample, of filling a paddle with 47 white beads and only three red beads? What I need to understand is how did you get the highlighed answers below because these require a factorial of 500 and I have not found anything that will calculate that. Thank you        Step 1 Given Information: Number of white beads = 500  Number of red beads = 50  Total number of beads = 550    Step 2 The probability, using one sample, of filling a paddle with 47 white beads and only three red beads can be determined as follows: Probability = C47500*C350C50550=(2.94*10^66) (19600)(3.44*10^71)=0.1675

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.