The following table gives the choices of two individuals, Chloe and Micah, from the menu M = {A, B, C, D}, and each submenu of M with at least two elements. menu or Chloe's Micah's submenu choice choice ABCD с BD ABC BC C ABD D ABD ACD D CD BCD CD BD AB B AC AC AD A BC BD CD с BD с AA A A AD B BD D (a) For each of Chloe and Micah, determine whether their choice from M satisfies (1) the contraction condition; (II) the expansion condition. (b) Is either Chloe's choice from M or Micah's choice from M reasonable? Briefly jus- tify your answer.

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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter9: Counting And Probability
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The following table gives the choices of two individuals, Chloe and Micah, from the
menu M = {A, B, C, D}, and each submenu of M with at least two elements.
menu or Chloe's
submenu
choice
ABCD
с
ABC
BC
ABD
ACD
BCD
AB
AC
AD
BC
BD
CD
D
D
CD
B
AC
A
с
BD
с
Micah's
choice
BD
с
ABD
CD
BD
A
A
AD
B
BD
D
(a) For each of Chloe and Micah, determine whether their choice from M satisfies (1)
the contraction condition: (II) the expansion condition.
(b) Is either Chloe's choice from M or Micah's choice from M reasonable? Briefly jus-
tify your answer.
Transcribed Image Text:The following table gives the choices of two individuals, Chloe and Micah, from the menu M = {A, B, C, D}, and each submenu of M with at least two elements. menu or Chloe's submenu choice ABCD с ABC BC ABD ACD BCD AB AC AD BC BD CD D D CD B AC A с BD с Micah's choice BD с ABD CD BD A A AD B BD D (a) For each of Chloe and Micah, determine whether their choice from M satisfies (1) the contraction condition: (II) the expansion condition. (b) Is either Chloe's choice from M or Micah's choice from M reasonable? Briefly jus- tify your answer.
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