18. If two fair 6-sided dice are rolled, what is the conditional probability tha

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18. If two fair 6-sided dice are rolled, what is the conditional probability that the first die landed on 6 given that the sum of their numbers is 9?

19. Let A and B be events. Is P{A | B} = 1 P{A | Bc}? Why or why not?

20. The machining center at a production facility has three lathes of differing ages and thus precision. • Machine A, the oldest, produces finished units of product of which 88% are good, 8% are blemished, and 4% are unusable. • Machine B produces 92% good, 6% blemished, and 2% unusable.

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