John has a red die and a blue die and he throws them together. Consider the events

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John has a red die and a blue die and he throws them together. Consider the events A: the outcome of the red die is an odd integer;

B: the outcome of the blue die is an odd integer;

C: the sum of the two outcomes is an odd integer.

Prove that the events A, B, and C are pairwise independent. Are they completely independent?

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Related Book For  book-img-for-question

Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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