ʻElua aʻu keiki, he keikikāne i hānau ʻia ma ka Pōʻahā. He aha ka likelika e loaʻa iaʻu kahi kaikamahine? E hōʻike kākou i nā lā o ka pule me nā helu \(1, 2, … , 7\) kahi \(1\ =\) Pōʻakahi, \(2 =\) Pōʻalua, a pēlā aku. I kēia manawa hiki iā mākou ke wehewehe i ka hanana "I ka lā \(n\) i hānau ʻia ai ke keikikāne" e like me \(B_n\) a me ka like no \(G_n\) .
No ka laʻana \(B_3\) he keikikāne i hānau ʻia ma ka Pōʻakolu a \(G_1\) ʻo ia hoʻi, ua hānau ʻia ke kaikamahine ma ka Pōʻakahi. Ma ka hoʻohana ʻana i kēia notation hiki iā mākou ke kākau i nā hanana: \(B_3G_1\) ʻo ia hoʻi: "ʻO ke keiki mua he keikikāne i ka Pōʻakolu a ʻo ka lua o ke keiki he kaikamahine i hānau ʻia ma ka Pōʻakahi".
E noʻonoʻo kākou ʻaʻole ʻoiaʻiʻo loa ka manaʻo o ka hānau ʻana o kahi keiki i kēlā me kēia lā o ka pule (ʻo ia hoʻi, e like me ke kāne o ke keiki, ʻaʻole ʻoiaʻiʻo loa, akā he manaʻo kūpono e mālama i ka pilikia). Ke alakaʻi nei kēia i nā \(27\) i nā ala like i hiki ke hānau ʻia kaʻu mau keiki ( \(B_4\) ke hōʻike nei i kahi keikikāne i hānau ʻia i ka Pōʻalima):
$$
\begin{matrix}
B_4G_1 & G_1B_4 & B_1B_4 & B_4B_1\\
B_4G_2 & G_2B_4 & B_2B_4 & B_4B_2\\
B_4G_3 & G_3B_4 & B_3B_4 & B_4B_3\\
B_4G_4 & G_4B_4 & B_4B_4 & \\
B_4G_5 & G_5B_4 & B_5B_4 & B_4B_5\\
B_4G_6 & G_6B_4 & B_6B_4 & B_4B_6\\
B_4G_7 & G_7B_4 & B_7B_4 & B_4B_7
\end{matrix}
$$
ʻO ka papa ma luna nei he papa inoa piha o nā ala a pau e hānau ai nā keiki ʻelua inā he keiki kāne i hānau ʻia ma ka Pōʻalima. ʻOiaʻiʻo, ma lalo o kā mākou mau manaʻo, ua like like kēia mau hanana āpau. Aia nā \(27\) hiki, ʻo \(14\) (nā mea ma nā kolamu mua ʻelua) aia kahi kaikamahine. No laila, ʻo ka hiki ke loaʻa iaʻu he kaikamahine \(14/27\approx 51,9\% \neq 50\%\) .