In each round of a game, a player scores 2 points with probability 0.30, 1 point with probability 0.50, and 0 points otherwise. The scores in two rounds are independent.
Find the probability that the player's total score is at least 3.
In 400 pairs of rounds, find the expected number for which the total score is at least 3.
Give one reason why the independence assumption might not hold in practice.