A child has a collection of 28 dyed eggs. There are 10 pink eggs, 8 green...

A child has a collection of 28 dyed eggs. There are 10 pink eggs, 8 green eggs, 6 yellow eggs, and 4 blue eggs. Suppose the child selects 6 eggs at random without replacement from this collection.

3. Reconsider the problem above where the child has a collection of 28 dyed eggs. As before, there are 10 pink eggs, 8 green eggs, 6 yellow eggs, and 4 blue eggs. But this time suppose the child selects one egg at random on each of 6 consecutive days. Suppose further that the “Easter Bunny” replaces the egg the child selected with another egg dyed the same color so that the color composition in the collection is the same on each day.

a) Find the probability the 6 eggs contain exactly 3 pink eggs.

b) Find the probability the 6 eggs contain 2 pink eggs, 1 green egg, 2 yellow eggs, and 1 blue egg.

c) Find the probability the 6 eggs contain exactly 2 green eggs and exactly 2 blue eggs.

d) Find the probability that half of the 6 eggs are pink and the other half are green.

e) Find the probability that none of the 6 eggs are pink and none of the 6 eggs are green.

Expert Solution

orchestra answered 2 years ago

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