Imagine you have in front of you a huge bucket containing blue and white marble/

Question

Imagine you have in front of you a huge bucket containing blue and white marble/gametes, where blue marble/gamete frequency = 0.7 and white marble/gamete frequency = 0.3. Randomly choose twelve marbles (representing six people) to start the next generation.

     How many different permutations exist for obtaining exactly FOUR blue marbles in the next generation?

What is the probability that you obtain FOUR blue marbles in your next generation ((provide an answer to 4 significant digits 0.00xxxx)?

Explanation / Answer

1. The number of permutations is 12 X 11 X 10 X 9 = 11880

2. The probability of obtaining 4 marbles is 0.0159. The calculation is shown below:

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