A mail-order house employs three stock clerks, U, V, and W, who pull items from shelves and assemble them for subsequent verification and packaging. U makes a mistake in an order (gets a wrong item or the wrong quantity) one time in a hundred, V makes a mistake in an order five times in a hundred, and W makes a mistake in an order three times in a hundred. If U, V, and W fill, respectively, 30, 40, and 30 percent of all orders, what are the probabilities that
(a) a mistake will be made in an order;
(b) if a mistake is made in an order, the order was filled by U;
(c) if a mistake is made in an order, the order was filled by V?
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