Use Baye's Theorem to solve this problem, A paper bag contains two red balls and one blue ball. A plastic bag contains three blue balls and one red ball. A coin is tossed. If it falls heads up, the paper bag is selected and a ball is drawn. If the coin falls tails up, the plastic bag is selected and a ball is drawn. If a red ball is selected, what is the probability that it came from the paper bag?     a.) 1/8 b.) 8/11 c.) 1/3 d.) 3/8

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Use Baye's Theorem to solve this problem, A paper bag contains two red balls and one blue ball. A plastic bag contains three blue balls and one red ball. A coin is tossed. If it falls heads up, the paper bag is selected and a ball is drawn. If the coin falls tails up, the plastic bag is selected and a ball is drawn. If a red ball is selected, what is the probability that it came from the paper bag?
 
 
a.) 1/8
b.) 8/11
c.) 1/3
d.) 3/8 
Expert Solution
Step 1

In paper bag:no.of red balls=2no.of blue balls=1Total no.of balls=3In plastic bag:no.of red balls=1no.of blue balls=3total no.of balls=4

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