Problem #1 (20 points) A box contains four [4} silver rings and one (1) gold ring. You have in your hand three (3] fair coins which you drop on the table. You now select from the box a number of rings [without replacement] equal to the number of heads that appear on the three fair coins. For example, if two heads appear, you get to pick two rings Erom the box, and if no heads appear, you get to pick no rings from the box, and so on. a.) (It! points) Compute the probability that you picked the gold ring from the box. b.) (10 points] If you now have the gold ring in your hand, compute the probahity that three heads must have appeared on the throw of the three coins