ates contains: 38 milk chocolates (MC), 31 Mr. Goodbars (G), 33, Krackels (K), and 33 Special Darks (S). We are going to randomly select one candy and put it back (replace it); then, we are going to select a second candy. What is

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The large bag of chocolates contains: 38 milk chocolates (MC), 31 Mr. Goodbars (G), 33, Krackels (K), and 33 Special Darks (S). We are going to randomly select one candy and put it back (replace it); then, we are going to select a second candy. What is the probability that the first chocolate is a Krackel and the second is a Special Dark?

Expert Solution
Step 1

We have;

Milk chocolates (MC)=38
Mr. Goodbars (G)=31
Krackels (K)=33
Special Darks (S)=33

First, we calculate the total number of chocolates as follows;

Total=38+31+33+33
       =135

Here we are selecting WITH REPLACEMENT, i.e, once the candy is chosen, it is seen and then kept back in the bag,

Consider A=Chocolate is Krackel
               B=Chocolate is Special Dark

We need to find P(A and B).
We see the two events A and B are independent, because they do not influence or change the occurrence of each other. Hence, the formula for P(A and B)=P(A)*P(B)

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