It is Lady Bridgerton's first ball of the season and she must select 4 dance partners for the upcomin dances. She cannot dance with the same partner twice. Of the 15 potential dance partners at th ball, there are 3 Dukes, 4 Earls, 7 Barons, and one Prince. Find the probability that: a) she does not dance with a Duke. b) she dances with exactly 2 Barons. c) she dances with at least one Earl. d) each dance partner has a different rank.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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It is Lady Bridgerton's first ball of the season and she must select 4 dance partners for the upcoming
dances. She cannot dance with the same partner twice. Of the 15 potential dance partners at the
ball, there are 3 Dukes, 4 Earls, 7 Barons, and one Prince. Find the probability that:
a) she does not dance with a Duke.
b) she dances with exactly 2 Barons.
c) she dances with at least one Earl.
d) each dance partner has a different rank.
Transcribed Image Text:It is Lady Bridgerton's first ball of the season and she must select 4 dance partners for the upcoming dances. She cannot dance with the same partner twice. Of the 15 potential dance partners at the ball, there are 3 Dukes, 4 Earls, 7 Barons, and one Prince. Find the probability that: a) she does not dance with a Duke. b) she dances with exactly 2 Barons. c) she dances with at least one Earl. d) each dance partner has a different rank.
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