For a certain breed of goat, pregnancy results in either one kid or two kids (twins). There is a 1/10 chance that a pregnancy will result in fraternal twins and a 1/40 chance that it will result in identical twins. With fraternal kids, the genders of the kids are independent but identical twins are either both male or both female. Assume male and female are equally likely, regardless of whether the pregnancy results in one or two kids. (a) Provide the sample space for the outcome of a pregnancy, and give the probability for each outcome. (b) Given that twins ensue, what is the probability that both are female? (c) Given two females are born, what is the probability that they are identical