It's difficult to give a definitive answer without more information about the bulbs and the wires in the circuit, but here are some possible outcomes:
- If the wire connects points X and Y directly (i.e., creating a new branch), then it is possible that a short circuit occurs, where the current bypasses the bulbs and flows through the wire instead. This could cause bulbs 1 and 2 (if they are on the same branch as the power source) or bulbs 3 and 4 (if they are on the branch between X and Y) to turn off while the other set remains lit.
- If the wire creates a loop by connecting a point on one branch to a point on another branch, then it is possible that a closed circuit occurs, where the current flows continuously through the loop. This could cause all bulbs to turn off (if the loop bypasses all bulbs) or to remain lit (if the loop includes all bulbs).
- If the wire creates a gap in one of the branches, then it is possible that an open circuit occurs, where the current is interrupted and cannot flow through that branch. This could cause all bulbs on that branch to turn off.