Statistical probability to help with a crime

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Discussion Overview

The discussion revolves around estimating the probability of a break-in at a business premises being an inside job versus a coincidence. Participants explore the variables surrounding the incident, including the security measures in place and the behavior of employees, while seeking a numerical probability to support the owner's suspicions.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that the probability of an inside job could be estimated at 44%, with a 56% chance of coincidence, referencing general industry statistics.
  • Another participant expresses skepticism about the likelihood of a random attack occurring at this specific time, implying that the probability of coincidence is lower than suggested.
  • A later reply indicates that the burglar likely believed the inner door was unlocked, suggesting that the chance of this assumption being correct is high, but it remains unclear whether this knowledge came from inside information or external observation.
  • Jerry, the original poster, notes that he has removed a staff member from payroll and is monitoring for further incidents, indicating a shift in his approach to the situation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the probability estimates, with differing views on the likelihood of an inside job versus coincidence. The discussion remains unresolved regarding the exact probabilities and the nature of the break-in.

Contextual Notes

The discussion is limited by the lack of definitive data on employee behavior and the circumstances surrounding the break-in, as well as the reliance on subjective interpretations of the situation.

mysh
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Hi There,
My maths used to be a lot better than it is these days, i gave up being a computer geek to set up my own business about 7 years ago and i can't work out the following as probability due to this and I'm rather stressed/angry, my attempts with excel are getting me nowhere

tonight people unknown attempted to break into my business premises and i want to calculate the probability of it being an inside job. my gut feeling is it is but it would be good to have the numbers to back it up.

here are the variables

i have had premises on this estate since october 2005 (1723 days) and this is the first time there has been any attempt to break in

there are the main door (which locks and unlocks with a yale type key) and a concertina gate (which automatically clicks locked but needs a key to unlock) in front of this. Tonight for the second time one of the lads who has keys has left another of the lads (who doesn't) in until he has finished working so he can leave only locking the outer door. so two people know that the inner more secure door is unlocked.

the last worker left the premises at 18:50 and by 23:50 that evening the outer lock has been forced with a tool for the job, it's quite a secure lock. no other locks on the other 51 industrial units have been targeted and show no sign of damage

luckily i had to nip back to the unit earlier in the evening and had locked the inner door. the inner door handle is reachable when the gate is shut so it seems that the persons who have done this expected the inner door to be open

there have been 3 other occasions in this time when i have forgetten to lock the inner door but no-one else would have known about these instances but they do affect the outcome of probability

i would be greatly appreciative if someone could crunch the numbers for me and let me know the probability of it being


  • sheer coincedence
  • inside job or at least outside influence of the knowledge the unit wasn't as secure as usual (1:1 is my guess at this one)


thanks again

Jerry
 
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Maybe you should invite the employees to a poker game...??
 
cheers for the comments guys, i imagine the probability of someone just happening to attack my premises in this timely manner is slightly longer than 44% TBH

I find poker to be like roulette, everyone else seems to leave the table better off than me.

I have removed the offending member of staff from our payroll so we will see if we have any other attempts.

I'm glad i found this site though so I'm off to the astronomy section now

cheers
Jerry
 
Good luck to you.
 
I would say the chance of the burglar thinking that that the inner door was unlocked seems quite high in this case, significantly higher than the "less than-1% chance" that is would be unlocked at random.

Whether is was inside knowledge or something else (e.g. watching the last person leave without locking the inner door) that made him think that is difficult to judge from the information above.
 

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