Mycroft
The elder Holmes
- Joined
- Jun 7, 2007
- Messages
- 1,068
- MBTI Type
- INTP
- Enneagram
- 5w6
- Instinctual Variant
- so/sp
G-Virus:
For simplicity, let's imagine that Adam lives exactly 20 minutes from the west terminal and 80 minutes from the east terminal. Let's also imagine that one train is run going in either direction every 100 minutes, both at precisely the same time. If Adam misses the eastbound train by a nanosecond (again, for simplicity), the westbound will arrive in just under 60 minutes. On the other hand, if Adam misses the westbound train by a nanosecond, the next eastbound train will arrive in just under 40 minutes.
So here, while the trains are running as frequently and passing through Adam's station the equal number of times per hour, we still wind up with Adam being, by the luck of the draw, about 1.5 times more likely to end up heading out east.
Is this sounding about right? I'll try to hammer out the math if it seems I'm on the right track. Kudos, though, this is a tough one!
For simplicity, let's imagine that Adam lives exactly 20 minutes from the west terminal and 80 minutes from the east terminal. Let's also imagine that one train is run going in either direction every 100 minutes, both at precisely the same time. If Adam misses the eastbound train by a nanosecond (again, for simplicity), the westbound will arrive in just under 60 minutes. On the other hand, if Adam misses the westbound train by a nanosecond, the next eastbound train will arrive in just under 40 minutes.
So here, while the trains are running as frequently and passing through Adam's station the equal number of times per hour, we still wind up with Adam being, by the luck of the draw, about 1.5 times more likely to end up heading out east.
Is this sounding about right? I'll try to hammer out the math if it seems I'm on the right track. Kudos, though, this is a tough one!