Biology Probability

Biology Level pending

The photograph shows the last Russian emperor, Nicholas II, his wife Alexandra, his four daughters (Olga, Tatiana, Maria and Anastasia) and his son Alexei, who was hemophiliac.

Let \( P = \dfrac{a}{b} \), for coprime positive integers \( a \) and \( b \), be the probability that only two of the couple's daughters carry the gene for hemophilia.

Evaluate \( a+b\).

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