As has been mentioned, you are basically inside a Faraday cage, so no problems for passengers. This is why all components and panels on an aircraft have to be correctly connected with all bonding leads etc attached. When a component is changed on an aircraft, or new panels fitted the fitment instructions will always include a bonding check. We use a special bonding checker to check that there is a very low resistance path between the component/panel just replaced and the rest of the airframe.
Lightning strikes have become more common in recent years, mainly because of congestion around airports meaning aircraft are quite often in a holding pattern in the kind of weather where they get struck. If a 'strike' is reported then ground engineers have to find the entry and exit points of the strike to check for damage and reprotection as necessary and anything outside the limits specified in the AMM/SRM [Aircraft Maintenance Manual/Structural Repair Manual] has to be repaired before next flight.