2 improbabilities

What is the probability of 2 improbable events happening on the same day? What is the probability of their happening within 15 minutes of each other?

On Feb 29, we took Ishaan out for his first picnic. To the Qutub Minaar and the verdant gardens of the Mehrauli archeological park. We realised that Ishaan has outgrown his bassinet without telling us. We found out when he made a rather successful effort to jump out of it, about 2 feet above the ground, and head on. Thankfully, he was held mid air and there was no head injury.
Consequently, the bassinet was used as a luggage holder and held my purse and the camcoder. On the way out, and while loading the car, we realised that the camcoder was not in the bassinet. Frantic searches by me and the maid yielded zero results. The maid said that was predictable in a city like Delhi. Who will find a Sony camcoder in a small, fit in your palm cover and not take it? I was forced to agree.
However, as a last ditch resort, i went to the main gate and asked if anyone has submitted a camcoder.

Improbable event #1:The police personnel standing at the gate said immediately that he has the camcoder and that i should come to the PCR van and take it.
Incredulous, I walked into the small cabin that the PCR team had, thinking in my mind of the police case, and formalities that are bound to follow. Not to mention having to go through this alone.
He had the camcoder all right. "Someone gave it to us from the road."!! In Delhi??? No formalites, no harassment, just your stuff back in your hands.

Improbable Event # 2: I came back to my purse, took out a note and handed it to him. He looked at it and said "This is not necessary. This is our job." I insisted and left it there. Outside, in the van, a lady officer sees me with my purse and says "Why did you pay anything? They have a salary too. You should not have paid." And she had a genuine, warm smile on her face!

Thank you, Delhi Police!!
And Thank you, to the person who brought the camcoder to the PCR van.