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Back to 3.2 Independent and Mutually Exclusive Events

3.2 Exercise 5

Avg difficulty 2.5

Flip two fair coins. Find the probabilities of the events.

  1. Let F = the event of getting at most one tail (zero or one tail).
  2. Let G = the event of getting two faces that are the same.
  3. Let H = the event of getting a head on the first flip followed by a head or tail on the second flip.
  4. Are F and G mutually exclusive?
  5. Let J = the event of getting all tails. Are J and H mutually exclusive?

OpenStax Introductory Statistics 2e, 3.2 Independent and Mutually Exclusive Events, exercise 5

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.