a bottle contains 12 red marbles and 8 blue marbles. A marble is chosen at random and not replaced. Then a second marble is chosen at random. Determine the probability that the two marbles are not the same color.

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01-05-2014
Mathematics

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a bottle contains 12 red marbles and 8 blue marbles. A marble is chosen at random and not replaced. Then a second marble is chosen at random. Determine the probability that the two marbles are not the same color.

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kate200468 kate200468 · Answer 1 · 2014-05-01T20:16:51-04:00

kate200468 kate200468

01-05-2014

[tex]P(A)= \frac{12}{20} \cdot \frac{8}{19} + \frac{8}{20} \cdot \frac{12}{19}= \frac{12\cdot8}{20\cdot19} \cdot2=\frac{12\cdot4}{5\cdot19}= \frac{48}{95} [/tex]

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