SOLUTION: A blue plastic container has four black pieces of cloth, two striped pieces, and six dotted pieces, each representing the category of patient depending on illness status. Stripped

Question 1134345: A blue plastic container has four black pieces of cloth, two striped pieces, and six dotted pieces, each representing the category of patient depending on illness status. Stripped for mild and dotted for severe illness. A piece is selected randomly and then placed back in the box. A second piece is selected randomly. What is the probability that: a. both pieces are dotted? b. the first piece is black and the second piece is dotted? c. one piece is black and one piece is striped?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Both are dotted. There are 12 pieces and 6 are dotted. Both are dotted is 6/12*6/12=0.25 probability.
First is black has probability 4/12 and second is dotted has probability (1/2), so joint probability is 1/6.
One is black and one striped
May be (1/3)(1/6)=1/18 if in that order
Or may be (1/6)(1/3)=1/18 in opposite order
For either, probability is the sum or 1/9
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