Hello, I just don't get how to solve the two following problems.

1.A drawer has 8 different pairs of socks. Six socks are taken randomly and without replacement, compute the probability that there is at least one matching pair among these socks.

Hint:Compute the probability that there is not a matching pair.

Answer:$\displaystyle \frac {111} {143}$

Bowl I contains 6 red chips and 4 blue chips. Five of these 10 chips are selected at random and without replacement and put in bowl II, which was originally empty. One chip is then drawn at random from bowl II. Given that this chip is blue, find the conditional probability that 2 red chips and 3 blue chips are transferred from bowl I to bowl II.

2.

Answer:$\displaystyle \frac {5}{14}$