There are 5 candidates in electoral board of Estate Empire. 3 of them came from internal employee others came from external. The election shall select 1 coordinator and 2 board members. The coordinator should come from board of directors and serves the company for more than 15 years, while board should came from company employee serving for 5-10 years. Use the following notation: C-Candidates (E for external, I from internal) P-Position (O for Coordinator, 81 for Board Member1, B2 for Board Member 2) W-For win position L-For loss position Draw the corresponding probability tree that might answer the following question

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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There are 5 candidates in electoral board of Estate Empire. 3 of them came from internal employee others came from external. The election shall select 1 coordinator and 2 board members. The coordinator should come from board of directors and serves the company for more than 15 years, while board should came from company employee serving for 5-10 years. Use the following notation:

C-Candidates (E for external, I from internal)

P-Position (O for Coordinator, 81 for Board Member1, B2 for Board Member 2)

W-For win position

L-For loss position

Draw the corresponding probability tree that might answer the following question:

  • what is the probability that 2 out of 3 candidate won came from internal employee?
  • what is the probability that 2 from internal employee and 1 from external employee won.
  • what is the probability that the coordinator might came from external employee?
  • what is the probability that the coordinator might came from internal employee?
  • what is the probability that the coordinator came from internal and 2 members came from external.
  • what is the probability that the coordinator came from external, 1 member came from internal and one came from external.

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