My confirm password tab wont disappear when I type 8 characters or more!! what am I doing wrong?

//Problem: Hints are shown even when form is valid
//Solution: Hide and show them at appropriate times

var $password = $("#password");
var $confirmPassword = $("#confirm_password");

//Hide hints
$("form span").hide();

function passwordEvent(){
  //Find out if password is valid
 if($password.val().length > 8) {
//Hide hint if valid
$password.next().hide();

} else {
  //else show hint
$password.next().show();

  }
}

function confirmPasswordEvent() {
//Find out if password and conformation match
if($password.val() === $confirmPassword.val()) {
  //Hide hint if match
$confirmPassword.next().hide();
} else {
  //else show hint
  $confirmPassword.next().show();

    }

}

//When event happens on password input
$password.focus(passwordEvent).keyup(passwordEvent).focus(confirmPasswordEvent).keyup(confirmPasswordEvent);

//When event happens on confirmation input
$confirmPassword.focus(confirmPasswordEvent).keyup(confirmPasswordEvent);