1. A hand of 13 cards is to be dealt at random and without replacement from an ordinary .declc of playing cards. Find the conditional probability that there are at least three kings in the hand relative to the hypothesis that the hand contains at least two kings.
2. A drawer contains eight pairs of socks. Ifsix socks are taken at randm and·without replacement. compute the probability that there is at least one matching pair among these six socks. Hint: Compute the probability that there is not a matching pair.