Question
It was reported that 8% of the computers in a lab have not been tested for viruses. Classify the probability that two randomly chosen computers were not tested?
Unlikely
Likely
Impossible
Certain
Unlikely
Likely
Impossible
Certain
Answers
GPT-4o mini
To classify the probability that two randomly chosen computers from the lab were not tested for viruses, we first need to determine the probability that one computer has not been tested.
If 8% of the computers have not been tested, this can be expressed as a probability:
- Probability (P) that one computer has not been tested = 0.08.
Now, to find the probability that both of the randomly selected computers have not been tested, we multiply the probabilities for each computer:
\[ P(\text{both not tested}) = P(\text{first not tested}) \times P(\text{second not tested}) \]
\[ P(\text{both not tested}) = 0.08 \times 0.08 = 0.0064. \]
This means there is a 0.64% chance that both computers were not tested.
In terms of classification:
- A probability of 0.0064 (or 0.64%) is quite low.
Therefore, we can classify this probability as **Unlikely**.
If 8% of the computers have not been tested, this can be expressed as a probability:
- Probability (P) that one computer has not been tested = 0.08.
Now, to find the probability that both of the randomly selected computers have not been tested, we multiply the probabilities for each computer:
\[ P(\text{both not tested}) = P(\text{first not tested}) \times P(\text{second not tested}) \]
\[ P(\text{both not tested}) = 0.08 \times 0.08 = 0.0064. \]
This means there is a 0.64% chance that both computers were not tested.
In terms of classification:
- A probability of 0.0064 (or 0.64%) is quite low.
Therefore, we can classify this probability as **Unlikely**.