**Honors Problems #6**

**due**** ****Thursday, October 20, 2005**

A drawer has 6 green socks and 2 red socks. Two socks are drawn randomly without replacement. What is the probability that they are a matching color?

A student has two bags of marbles: Bag A contains 8 red and 3 black marbles, and Bag B contains 5 red and 7 black marbles. She randomly selects a bag then draws one marble at random. It is black. What is the probability that it came from bag B?