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# HW7 - CSE21 FA11 Homework#7 7.1 A bin contains 4 red balls...

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CSE21 FA11 Homework #7 (11/7/11) 7.1. A bin contains 4 red balls, 5 white balls and 6 blue balls. A random subset S of 4 balls is removed (without replacement). Consider the following 3 events: (1) E 1 : S has exactly 2 red balls.; (2) E 2 : S has balls of all three colors; (3) E 3 : S has at least 2 blue balls. Which of the pairs of events E 1 ,E 2 and E 3 (if any) are independent? (Justify your answer.) 7.2. We are given an urn that has one red ball and two white balls in it. A fair die is thrown. If the number shown is 1 or 2 then one red ball is added to the urn. Otherwise three red balls are added to the urn. A ball is then randomly drawn from the urn. (a) Given that a red ball was drawn, what is the probability that a 1 or 2 appeared when the die was thrown? (b) Given that the ﬁnal composition of the urn contained more than one red ball, what is the probability that a 1 or 2 appeared when the die was thrown? 7.3.

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HW7 - CSE21 FA11 Homework#7 7.1 A bin contains 4 red balls...

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