. A certain shop repairs both audio and video components. Let A denote the event that the next
component brought in for repair is an audio component, and let B be the event that the next
component is a compact disc player (so the event B is contained in A). Suppose that P(A) ¼ .6
and P(B) ¼ .05. What is P(B|A)?
. In Exercise 15, Ai ¼ {awarded project i}, for i ¼ 1, 2, 3. Use the probabilities given there to
compute the following probabilities, and explain in words the meaning of each one.
(a) P(A2|A1)
(b) P(A2 \ A3|A1)
(c) P(A2 [ A3|A1)
(d) P(A1 \ A2 \ A3|A1 [ A2 [ A3)
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