1. What is the probability that a ve-card poker hand is a three of a kind (three cards of one rank, two cards of di erent ranks, which are not the same rank as each other, for example 3 Kings, 1 Ten and 1 ve)?
2. For an experiment with sample space f1; 2; 3; 4; 5g, is there a probability P such that P(f1; 2g) = 0:4, P(f1; 3; 4g) = 0:7 and P(f2; 3; 5g) = 0:5?