IMathAS-libretexts

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

A—method A is used
B—method B is used
L—the skill was Learned successfully

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

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

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