Solutions to Probability Puzzle: Find 3 Emergency Trained Staff

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The discussion revolves around calculating the probabilities of reaching emergency-trained staff from a potentially outdated contact list. With 20% of the workforce trained, the probability of getting three trained staff members after three calls is questioned, alongside the likelihood of reaching two trained individuals. Clarification is sought on whether the inquiry pertains to the staff answering the calls or the overall availability of trained personnel. The ambiguity in the scenario, particularly regarding the total number of staff and their training status, complicates the probability calculations. Ultimately, the need for precise data on staff numbers and training is emphasized to resolve the puzzle effectively.
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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 I want to find 3 emergency trained staff, and the contact list is out of date.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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