Solutions to Probability Puzzle: Find 3 Emergency Trained Staff

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SUMMARY

The probability puzzle involves determining the likelihood of contacting emergency-trained staff from a workforce where 20% are trained. Specifically, the challenge is to calculate the probability of reaching 3 emergency-trained staff after 3 phone calls, as well as the probability of reaching 2 trained staff in the same scenario. The discussion highlights the ambiguity in the problem, particularly regarding the total number of staff and the definition of "contacting" trained personnel.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with binomial probability distribution
  • Knowledge of emergency response training protocols
  • Ability to interpret workforce statistics
NEXT STEPS
  • Study binomial probability calculations
  • Learn about probability distributions in statistics
  • Research workforce management and training statistics
  • Explore emergency response protocols and their implications
USEFUL FOR

This discussion is beneficial for statisticians, emergency response coordinators, and workforce managers who need to understand probability in the context of emergency training and staff availability.

statsluke
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Any possible solutions to the following probability puzzler? Cheers

A site with a rotating workforce provides emergency response training for some regular members of staff. In an emergency they are called into the emergency team. On the site 20% have emergency training. I want to find 3 emergency trained staff, and the contact list is out of date. What is the probability of getting 3 emergency trained staff after 3 phone calls. What is the probability of getting 2 after 3 calls?
 
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You don't even know it there are 3 emergency-trained staff. What if there's only 5 staff total? How many people are there at one time? How many of them are emergency-trained?
You said only the emergency-trained go on a call, so the question doesn't really make sense. Or do you just mean you're calling the place and want to know if the person who answers the phone is emergency-trained?
 

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