DEPARTMENT OF MANAGEMENT SCIENCES
The probability winning second prize given that you did not win first is 1/999 = .001. The probability that mom comes in first and you are second = 1/1000 * 1/999 = .000001. The probability of you first and mom second = 1/1000 * 1/999 = .000001. The probability that the two of you will take the top two prizes is .000001 + .000001 = .000002. ................
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