[Request] Can Lily Phillips sleep with 1000 men in 24 hours?
Porn star Lily Phillips is attempting to break a world record by sleeping with 1000 men in 24 hours. Let's make a few assumptions:
- All 1000 men would need to ejaculate in order for the record to be considered valid.
- Group activity is allowed and up to 3 people can have sex with her at a time, one for each orifice.
- The length of intercourse for each man (time from penetration to ejaculation) is modeled as a Gaussian distribution with a mean of 5 minutes and a standard deviation of 90 seconds.
Let's also consider two strategies that can be employed:
- 333 groups of 3 are formed + 1 solo participant. The groups form a queue and the next group enters only once all the members of the group currently participating have finished. This continues until all groups have finished.
- A single-file queue is formed. Initially, 3 people enter. Anytime one of the 3 people in the current group finishes, they leave and are replaced by the person in front of the queue. This continues until all men have been exhausted.
What is the probability that all 1000 men will finish within 24 hours for both strategies. If the probability for either scenario is high enough, maybe also consider rest periods (bathroom breaks, naps, etc.), which would be much more realistic.