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The next four questions refer to the following information: Two methods, A and B, are available for teaching a certain industrial skill. There is a

The next four questions refer to the following information:

Two methods, A and B, are available for teaching a certain industrial skill. There is a 95% chance of successfully learning the skill if method A is used, and an 80% chance of success if method B is used. However, method A is substantially more expensive and is therefore used only 25% of the time (method B is used the other 75% of the time).

The following notations are suggested:

  • AmethodAis used
  • BmethodBis used
  • Lthe skill wasLearned successfully

Which of the following is the correct representation of the information that is provided to us?

P(A) = .25, P(B) = .75, P(A | L) = .95, P(B | L) = .80

P(A) = .25, P(B) = .75, P(L | A) = .95, P(L | B) = .80

P(A) = .25, P(B) = .75, P(A and L) = .95, P(B and L) = .80

P(A and L) = .25, P(B and L) = .75, P(L | A) = .95, P(L | B) = .80

P(A | L) = .25, P(B | L) = .75, P(L | A) = .95, P(L | B) = .80

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