A nice thing happened to me the other day.
I left work on my bike and at the first light another girl on a bike stood next to me.
When the light turned green we both went on together until the next light. It didn’t seem strange at first but after four lights, when I noticed she is still with me, it became a game.
Man of science
I love statistics. I see it everywhere and I follow it a lot in my personal life.
I work in a different city then the one I live in, about 8 km from my house.
On the way I pass through another major city and many junctions that lead to high profile locations or highways.
So let’s make it simple. We drove together for the most part of the journey. We even drove together inside my city a few junctions because I was on my way to meet some friends so I changed my usual path that day only.
We drove together 16 junctions. Each time we took the same route. Let’s say 8 of the junctions are T junctions (2 ways to go → 50% chance to go to any direction) and 8 are X junctions (3 ways to go → 33% chance to go to any direction).
I won’t get into the all “some junctions having more gravity then other” issue just for the sake of keeping it simple.
So the probability we stay on the same route after one T junction and one X junction is 15% (0.5*0.3=0.15). Already not a big chance.
To calculate it all real quickly it shows an extremely small chance, if any, for us to drive together for so long (0.58*0.38). Without taking into account leaving work at the same time and reaching together to the light.