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. -

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 29CT
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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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