Approximately one-third of all human twins are identical (one-egg) and two-thirds are fraternal (two-egg) twins. Among fraternal twins, approximately one-fourth are both female, one-fourth are both male, and half are one male and one female. Identical twins are necessarily the same sex, with half being both male and half being both female.  (i). What’s the probability of human twins being both male?   (ii). What’s the probability that a set of twins are identical if they are both female?   (iii). Are the events A = {a set of twins are both female} and B = {a set of twins are identical} independent? Explain.

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