A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble? What is the probability of selecting two white marbles? Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

Question

Mathematics

Batman

29 August, 11:27

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble? What is the probability of selecting two white marbles? Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

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Answers (1)

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Gideon Cox · Answer 1

1. The probability of selecting a purple marble and then a white marble:

P (P + W) = 7/9 * 2/8 = 7/36

2. The probability of selecting two white marbles:

P (W + W) = 2/9 * 1/8 = 1/36

3. P (P + P) = 7/9 * 6/8 = 21/36 = 7/12

The probability of selecting 2 purple marbles in a row is much greater than selecting two white marbles.