SOLUTION: 2 identical boxes have 5 chips in them. Box A has 3 blue chips and 2 red chips. Box B has 2 blue chips and 3 red chips. A box is randomly selected, and two chips are randomly drawn

Algebra ->  Probability-and-statistics -> SOLUTION: 2 identical boxes have 5 chips in them. Box A has 3 blue chips and 2 red chips. Box B has 2 blue chips and 3 red chips. A box is randomly selected, and two chips are randomly drawn      Log On


   



Question 873319: 2 identical boxes have 5 chips in them. Box A has 3 blue chips and 2 red chips. Box B has 2 blue chips and 3 red chips. A box is randomly selected, and two chips are randomly drawn (without replacement).
a) What is the probability of drawing 2 blue chips?
b) Given that Box A is chosen, what is the probability of drawing 2 blue chips?
c) Based on your answers in parts a & b, are the events “drawing 2 blue chips” and “choosing Box A” dependent or independent?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a) %281%2F2%29%283%2F5%29%282%2F4%29+%2B+%281%2F2%29%282%2F5%29%281%2F4%29+=+1%2F5
b) %283%2F5%29%282%2F4%29+=+6%2F20+=+3%2F10
c) Different Results knowing which Box. Result Dependent on which Box is Chosen