Microsoft Arc Touch Bluetooth Mouse and Windows 8.1 - Misleading notebook built-in Bluetooth adapter

The configuration:
-Sony Vaio Notebook (older edition)

-Windows 8.1

-Microsoft Arc Touch Bluetooth Mouse

Sony Vaio with Windows 8.1 can't recognise the Microsoft Arc Touch Bluetooth Mouse.
The built-in bluetooth adapter works fine, bacause it recognises e.g. cell phone with bluetooth or other bluetooth mouse.
Microsoft Arc Touch Bluetooth Mouse is compatible with Windows 8.1.
Where is the problem?

This Sony Vaio notebook was originally shipped with Windows 7, then was reinstalled to Windows 8.1.
(Anyway Windows 8.1 works fine with older Vaio.)

So it was neccesarry to buy a cheap Bluetooth 4.0 Micro USB adapter.
This solved the problem.

How to check your device to see if it's Bluetooth 4.0 enabled?