Answer all questions with explanation

1. Ajouin and Genie are a happy couple and have 4 lovely children. Is it more likely they will have two boys and two girls or three of the same sex and one of the other? Assume that the probability of a child being a boy is 0.5 and that the births are independent events.
2. A fair die is rolled 4 times. Let the random variable X denote the number of sixes that appear. Find F_X(x).