The local Thai restaurant has analyzed its lunch combination orders in which it offers a choice of soup or salad for the starter and a choice of chicken, beef or tofu for the entree. In the last few months, 35% begin with soup and 65% begin with salad. Of those selecting soup, 45% continue with a chicken dish, 40% continue with a beef dish and the rest continue with a tofu dish. Of those selecting salad, 50% continue with a chicken dish, 20% continue with a beef dish and the rest continue with a tofu dish.
If a diner had a dish with tofu, what is the probability that she:
a. Had soup as a first serving?
b. Had salad as a first serving?
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