Suppose there is a family with four children. Assume that it is equally probable for a boy or a girl to be born. a. What is the probability of all girls? b. What is the probability of all girls given there is at west one girl? c. What is the probability of at least one boy and one girl? d. Are the events "there are children of both sexes" and "there is at most one boy" independent? Expand (2x - 5)^4 using the binomial theorem