Possessive Pronouns

SINGULAR
MASCULINEFEMININEEnglish
le mienla miennemine
le tienla tienneyours
le sienla siennehis/hers/its
le nôtrela nôtreours
le vôtrela vôtreyours
le leurla leurtheirs

PLURAL
MASCULINEFEMININEEnglish
les miensles miennesmine
les tiensles tiennesyours
les siensles sienneshis/hers/its
les nôtresles nôtresours
les vôtresles vôtresyours
les leursles leurstheirs

The possessive pronoun agrees in gender and number with the noun it refers to, not with the owner.

This is Paul's book. This book is his.
This is Sophie's book. This book is hers.

C'est le livre de Paul. C'est le sien.
C'est le livre de Sophie. C'est le sien.

Note that the adjective used in English is 'his' or 'hers' depending on the gender of the owner, male or female.
But in French, the pronoun depends on the gender of the noun it applies to, whether the noun is masculine or feminine.
As the word 'livre' is masculine (un livre), the adjective that should be used is the masculine form 'le sien' no matter the gender of the owner.