In each packet of Corn Flakes may be found a plastic bust of one of the last five Vice-Chancellors of Cambridge University, the probability that any given packet contains any specific Vice-Chancellor being, independently of all other packets. Show that the probability that each of the last three Vice-Chancellors is obtained in a bulk purchase of six packets is 1 − 3(½)6 + 3(³)6 – (})6. -

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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In each packet of Corn Flakes may be found a plastic bust of one of the last five Vice-Chancellors
of Cambridge University, the probability that any given packet contains any specific Vice-Chancellor
being, independently of all other packets. Show that the probability that each of the last three
Vice-Chancellors is obtained in a bulk purchase of six packets is 1 − 3(½)6 + 3(³)6 – (})6.
Transcribed Image Text:In each packet of Corn Flakes may be found a plastic bust of one of the last five Vice-Chancellors of Cambridge University, the probability that any given packet contains any specific Vice-Chancellor being, independently of all other packets. Show that the probability that each of the last three Vice-Chancellors is obtained in a bulk purchase of six packets is 1 − 3(½)6 + 3(³)6 – (})6.
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