A coin is tossed repeatedly until it shows a head. The event is that the head shows in less than 10 tosses.  Each of three boxes, identical in appearance, has two drawers. The first box contains a...

A coin is tossed repeatedly until it shows a head. The event is that the

head shows in less than 10 tosses.

 Each of three boxes, identical in appearance, has two drawers. The

first box contains a gold coin in each drawer; the second contains a

silver coin in each drawer; and the third contains a gold coin in one

drawer and a silver coin in the other. Consider the following experiments: (1) a box is chosen at random; (2) a box is chosen at random,

one of its drawers is opened, and a gold coin found in it. For each of

the experiments above, the event is that the box contains coins of

differing metals.