Final answer:
The probability that none of the 12 property crimes being investigated will be solved is approximately 6.87%.
Step-by-step explanation:
The student is asking about the probability that none of the 12 property crimes currently being investigated by the police will be solved. Given that there's an 80% chance that a property crime goes unsolved, the probability that one particular crime goes unsolved is 0.8. To find the probability that all 12 crimes go unsolved, we raise 0.8 to the power of 12. This is an example of the use of the multiplication rule of independent probabilities.
The Calculation looks like this:
0.812 ≈ 0.0687
Therefore, the probability that none of the 12 crimes will be solved is approximately 6.87%.