Hello Vuyiswa,
I am not sure whether i understand your issue correctly. However, since you define CheckBoxes on top of the ListBoxItems (by populating the ListBox.Items collection with CheckBoxes), when you select a CheckBox the ListBox.SelectionChanged event won't befired since the underlying ListBoxItem cannot detect the LeftMouseButton event which indicates the selection. This is caused by the fact that the CheckBox handles this event instead.
Therefore you can define the ListBoxItems like so:
Give this a try and let us know if it works for you.
Greetings,
Tina Stancheva
the Telerik team
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