Question

Suppose you flip three fair, mutually independent coins. Define the following events: Let A be the...

Suppose you flip three fair, mutually independent coins. Define the following events:

  • Let A be the event that the first coin is heads.
  • Let B be the event that the second coin is heads.
  • Let C be the event that the third coin is heads.
  • Let D be the event that an even number of coins are heads.

Determine the probability space for this experiment (build the probability tree).

Using the probability tree, find the probability of each of the events A, B, C, D, (A AND C), (A AND B AND C), (A OR B OR C).

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