allow subscribers to see private posts without plug in

This can be added as a basic hook –

function what-ever-youwantto-callthis() {

$subRole = get_role( 'subscriber' ); //change the name of the user here 

$subRole->add_cap( 'read_private_posts' ); //allows the above to read posts 

$subRole->add_cap( 'read_private_pages' ); //allows the above to read pages

}

add_action( 'init', 'what-ever-youwantto-callthis' );