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Unformatted text preview: AMS 410 Actuarial Mathematics Fall 2009 Exercise 3: General Probability III and Review 09/17/2009 1. An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an un- known number of blue balls. A single ball is drawn from each urn. The probability that both balls are the same color is 0.44. Calculate the number of blue balls in the second urn. 2. A bag contains 3 red balls, 2 white balls and 3 blue balls. Three balls are selected randomly from the bag without replacement . Given that no blue ball has been selected, calculate the probability that the number of red balls exceeds the number of white balls chosen. 3. Twenty items are arranged in a 5-by-4 array as shown. Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or same column. A 1 A 2 A 3 A 4 A 5 A 6 A 7 A 8 A 9 A 10 A 11 A 12 A 13 A 14 A 15 A 16 A 17 A 18 A 19 A 20 1 4. ( Venn Diagram) Suppose there are 3 events: A , B and C . Use Venn Diagram to describe....
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This note was uploaded on 08/08/2010 for the course AMS 410 taught by Professor Yang,y during the Fall '08 term at SUNY Stony Brook.
- Fall '08