In May of last year, my wife and I arrived in St Andrews at 11:30 AM, and after stopping at the B and B, went for a walk down to the OC. The starter asked us if we could go out in 45 minutes. We were able to join two members playing a match, and had a great time. We only made the ballot once more in six days there, but I did not aggressively pursue tee times after that. When our tee time came up the last day, he did indeed ask us if it would be ok for two singles to join us.