SOLUTION: There are 4 yellow highlighters, 2 blue highlighters, and 3 purple highlighters in bag A. There are 2 white balls and 4 blue balls in bag B. A highlighter is randomly drawn from ba

Algebra ->  Probability-and-statistics -> SOLUTION: There are 4 yellow highlighters, 2 blue highlighters, and 3 purple highlighters in bag A. There are 2 white balls and 4 blue balls in bag B. A highlighter is randomly drawn from ba      Log On


   

Question 1140284: There are 4 yellow highlighters, 2 blue highlighters, and 3 purple highlighters in bag A. There are 2 white balls and 4 blue balls in bag B. A highlighter is randomly drawn from bag A, and then a ball is randomly drawn from bag B. What is the probability of drawing a highlighter and a ball that are the same color? What is the probability of drawing exactly one blue item?
Answer by greenestamps(13200) About Me  (Show Source):
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From the given information....

P(A yellow) = 4/9
P(A blue) = 2/9
P(A purple) = 3/9

P(B white) = 2/6
P(B blue) = 4/6

(a) P(A and B same color) = P((A blue) AND (B blue))

(b) P(exactly one blue) = P((A blue) AND (B not blue) OR (A not blue) AND (B blue))

Plug in the given probabilities, using multiplication for AND and addition for OR.