solution

A truck driver has to deliver a load of lumber to one of two construction sites, which are, respectively, 27 and 33 miles from the lumberyard, but he has misplaced the order telling him where the load of lumber should go. The two construction sites are 12 miles apart, and, to complicate matters, the telephone at the lumberyard is out of order. Where should he go first if he wants to minimize the distance he can expect to drive and he feels that

(a) the odds are 5 to 1 that the lumber should go to the construction site that is 33 miles from the lumberyard;

(b) the odds are 2 to 1 that the lumber should go to the construction site that is 33 miles from the lumberyard;

(c) the odds are 3 to 1 that the lumber should go to the construction site that is 33 miles from the lumberyard?

 
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