A reader wrote the following passage to a column in a magazine. "You have 6 envelopes to pick from. Two-thirds (that is, 4) are empty. One-third (that is, 2) contain a $100 bill. You're told to choose 2 envelopes at random. Which least one $100 bill, or (2) that you'll get no $100 bill at all?" Find the two probabilities. The probability that you will get at least one $100 bill is (Type an integer or a simplified fraction.) and the probability that you'll get no $100 bill at all is