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1 out of 1000 births results in fraternal twins; 1 out of 1500 births results in identical twins. Identical twins must be the same sex

1 out of 1000 births results in fraternal twins; 1 out of 1500 births results in identical twins. Identical twins must be the same sex but the sexes of fraternal twins are independent and we assume each sex the probability of 1/2.

a) If two girls are twins, what is the probability they are fraternal twins?

b) If there are 5 sets of twin girls, what is the probability that at least four of the sets are identical twins?

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