An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 1/6 2/6 3/6 2/5 3/5 1/5 3/5 1/5 2/5 2/30 3/30 2/30 6/30 3/30 6/30.

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Presentation transcript:

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 1/6 2/6 3/6 2/5 3/5 1/5 3/5 1/5 2/5 2/30 3/30 2/30 6/30 3/30 6/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 1/6 2/6 3/6 2/5 3/5 1/5 3/5 1/5 2/5 2/30 3/30 2/30 6/30 3/30 6/30 What is the probability that both marbles are the same color? The probability that both marbles are the same color = P(S) = 2/30 + 6/30 = 8/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 1/6 2/6 3/6 2/5 3/5 1/5 3/5 1/5 2/5 2/30 3/30 2/30 6/30 3/30 6/30 What is the probability that at least one marble is red? The probability that at least one marble is red = P(R) = 2/30 + 2/30 +2/30+6/30 6/30 = 18/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 1/6 2/6 3/6 2/5 3/5 1/5 3/5 1/5 2/5 2/30 3/30 2/30 6/30 3/30 6/30 What is the probability that the marbles are the same color AND at least one marble is red? The probability that the marbles are the same color AND at least one marble is red = P(S R) = 2/30

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 1/6 2/6 3/6 2/5 3/5 1/5 3/5 1/5 2/5 2/30 3/30 2/30 6/30 3/30 6/30 What is the probability that the marbles are the same color OR at least one marble is red? P(S) = 8/30 P(R) = 18/30 P(S R) = 2/30 The probability that the marbles are the same color OR at least one marble is red = P(S R) = 2/30 + 2/30 + 2/30+6/30+6/30 + 6/30 = 24/30 ALSO

An urn contains 1 green, 2 red, and 3 blue marbles. Draw two without replacement. 1/6 2/6 3/6 2/5 3/5 1/5 3/5 1/5 2/5 2/30 3/30 2/30 6/30 3/30 6/30 What is the probability that the marbles are the same color IF at least one marble is red? P(S) = 8/30 P(R) = 18/30 P(S R) = 2/30 The probability that the marbles are the same color IF at least one marble is red = P(S / R) =