Meeting sister coincidence

I live near Birmingham my sister at the time lived in Belgium. I had recently started a new job which required me to travel to London which I'd not done before. On one of my first trips on arriving at Euston I needed to take the underground but I mistakenly took the undground train in the wrong direction so got off the train and waited on the platform for the next train. Whilst waiting for the train I spotted my sister on the same platfrom. she had flown over from Belgium and was in London for a business meeting that day. Neither of us knew we would be in the same country let alone standing on the same platform. If I hadn't took the wrong train we'd have missed each other.