Of the 80 members of the UNAM Debating Society (Ω) 27 of them play Chess (C) as another hobby, 19 of them persuade a career in Education (E) and 23 reside in the campus Hostel (H). Additionally, 8 of the members who play Chess also persuade a career in Education (E); 11 of those who play Chess do reside in the Hostel; while 7 of the members who persuade a career in Education also reside in the Hostel. Furthermore, there are six members out of the 80 members of the UNAM Debating Society who reside in the Hostel, persuade their career in Education and can play Chess. Find the probability of being in the campus hostel and persuade a career in Education.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 36E
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Of the 80 members of the UNAM Debating Society (Ω) 27 of them play Chess (C) as another hobby, 19 of them persuade a career in Education (E) and 23 reside in the campus Hostel (H).

Additionally, 8 of the members who play Chess also persuade a career in Education (E); 11 of those who play Chess do reside in the Hostel; while 7 of the members who persuade a career in Education also reside in the Hostel. Furthermore, there are six members out of the 80 members of the UNAM Debating Society who reside in the Hostel, persuade their career in Education and can play Chess.

Find the probability of being in the campus hostel and persuade a career in Education.

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