Pack (27) having a group of tobacco industry products wrapped in a laminate (2) to form a bundle (22). The pack has a base (28) containing the bundle, and a lid (30) mounted to the base for rotation between open and closed positions. The laminate has an outer layer (3) having a first cut (5) that defines an outer layer region bounded by said first cut and, an inner layer (4) having a second cut (6) that defines an inner layer region bounded by said second cut. A part of the outer layer region is attached to an inside surface of the lid such that, as the lid is rotated into its open position, the inner and outer layer regions are lifted causing the inner and outer layers to delaminate in a peripheral region (15) between the first and second cuts and an opening (19).