Answered

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Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?

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Semsee45idn

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

  • P(E ∪ F) = 0.69
  • P(E) = 0.49
  • P(E ∩ F) = 0.06

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26

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