Based on a poll, \( 70 \% \) of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the pro more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information the The probability that at least one of them is careful about personal information is (Round to three decimal places as needed.)

Let’s consider the scenario where two Internet users are using a public Wi-Fi hotspot. If \( 70\% \) of Internet users are careful about their personal information, then the probability that a user is not careful is \( 30\% \) or \( 0.3 \). To find the probability that at least one of them is careful, we can use the complement rule. This means we first calculate the probability that neither of them is careful and then subtract that from \( 1 \). 1. The probability that both users are not careful is: \[ P(\text{neither careful}) = 0.3 \times 0.3 = 0.09 \] 2. Therefore, the probability that at least one of them is careful is: \[ P(\text{at least one careful}) = 1 - P(\text{neither careful}) = 1 - 0.09 = 0.91 \] Rounding to three decimal places, the probability that at least one of them is careful about personal information is: \[ \boxed{0.910} \]