[All Steps] When a balanced quarter is tossed three times, eight equally likely outcomes are possible: HHH HTH THH TTH HHT HTT THT TTT Let A = event the


Question: When a balanced quarter is tossed three times, eight equally likely outcomes are possible:

HHH HTH THH TTH

HHT HTT THT TTT

Let

A = event the second toss is tails,

B = event the third toss is heads, and

C = event the total number of tails is two.

  1. Compute P(A), P(B), and P(C).
  2. Compute P(B|A).
  3. Are A and B independent events? Explain your answer.
  4. Compute P(C|A).
  5. Are A and C independent events? Explain your answer.

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