(Steps Shown) Using the diagram 1, calculate following probabilities. Find the value of x . P(C \mid A). P(B \mid A ∩ B). P(B \mid A ∪ B). P(A \mid A


Question: Using the diagram 1, calculate following probabilities.

  1. Find the value of x .
  2. \(P(C \mid A)\).
  3. \(P(B \mid A \cap B)\).
  4. \(P(B \mid A \bigcup B)\).
  5. \(P(A \mid A \cup B \cup C)\).
  6. \(P(A \cap B \mid A \bigcup B)\).
  7. \(P\left((A \cup B)^{\prime}\right)\).
  8. \(P\left(\left(A \cap B^{\prime} \cap C^{\prime}\right)\right.\).
  9. \(P\left(B \cap\left(A \cap C^{\prime}\right)\right)\).
  10. \(P\left(C \mid(A \cap B)^{\prime}\right)\)

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