BBM, Leni, Isko and Ping compete in a game and are ranked from 1 to 4. They then compete in another game and are again ranked from 1 to 4. Suppose that their performances in the second tournament are unrelated to their performances in the first tournament, so that the two sets of rankings are independent. What is the probability that nobody receives the same ranking twice?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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BBM, Leni, Isko and Ping compete in a game and are ranked from 1 to 4. They then compete in another
game and are again ranked from 1 to 4. Suppose that their performances in the second tournament are
unrelated to their performances in the first tournament, so that the two sets of rankings are
independent. What is the probability that nobody receives the same ranking twice?
Transcribed Image Text:BBM, Leni, Isko and Ping compete in a game and are ranked from 1 to 4. They then compete in another game and are again ranked from 1 to 4. Suppose that their performances in the second tournament are unrelated to their performances in the first tournament, so that the two sets of rankings are independent. What is the probability that nobody receives the same ranking twice?
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