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a) A urn contains one red marble, one green marble and one blue marble. An experiment consists of taking one marble from the urn, then returning it and drawing a second marble. What is the probability that exactly one red marble is selected? b) What is the probability that exactly one red marble is selected if the experiment is without replacement (marble is not returned)?

math   Statistics-And-Probability   
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Answer #1

a) Total number of marbles = 1 + 1 + 1 = 3

number of red marble = 1

The probability that exactly one red marble is selected

= P(first selected marble is red) + P(second selected marble is red)

1 2 21 3

2 2

4-9

0.44444

b) The probability that exactly one red marble is selected if the experiment is without replacement

= P(first selected marble is red) + P(second selected marble is red)

1 2 21

3 3

= rac{2}{3}

0.66667

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