A safety deposit box contains three ancient Roman coins:

#1 both sides are silver
#2 both sides are gold
#3 one side is silver, the other gold

You are blindfolded, then you pick a coin, then toss it so that it lands on the floor.
At this point, the sample space for the side showing is:
coin # \ side # 1 2
1 silver silver
2 gold gold
3 silver gold

The blindfold comes off, you look down, and you see gold showing.
Given that gold is showing, determine these three probabilities:

P(you drew coin #1)
P(you drew coin #2)
P(you drew coin #3)