Consider the case of Carla. She is pregnant with twins which she knows are frate
ID: 3221152 • Letter: C
Question
Consider the case of Carla. She is pregnant with twins which she knows are fraternal, (a) What is the probability that she has a girl? (b) What is the probability that given that one of the children is a girl that both will be girls? (c) If the first born child is a girl, what are the odds that she will have two girls? (d) Are these two results consistent. Now suppose that the kids are quantum objects, (e) If kids are identical fermions and boy/girl is just another state label, what are the odds of Carla having two girls? (f) What are the odds of her having one boy and one girl? (g) If the first born is a girl what are the odds that the second born is a boy? (h) Is this consistent with the earlier results. Now lets assume that kids are bosons, (i) What are the odds that Carla has two girls? What are the odds that Carla has a boy and a girl, (j) If the first born is a girl, what are the odds that the second born is a boy? (k) Is this consistent with the earlier results?Explanation / Answer
In case of twins below are the four possible outcomes
boy - boy
boy - girl
girl - girl
(a) Probability that she has a girl = 2/3 = 0.6667
(b) Probability that one child is girl, both are girl = 1/2 = 0.5
(c) Here odds that she will have two girls = 1/2
(d) Results in both b and c are same.