Answer :
Final answer:
While the question seems to be about a gaming mechanic, the principle it refers to is the law of independent probabilities in mathematics. This law states that the probability of two independent events both occurring is the product of their individual probabilities.
Explanation:
The subject of the initial question seems to be related to a video game or gaming mechanics rather than a traditional academic subject. However, the reference provided, LibreTexts, and the subsequent mention of the law of independent probabilities relate directly to mathematics, specifically probability theory. In probability theory, the law of independent probabilities states that if two events are independent, the probability of both occurring is the product of their individual probabilities. For instance, the statement 'the probability of surviving for 16 hours equals the probability of surviving for the first 8 hours multiplied by the probability of surviving for the second 8 hours' exemplifies this law. To calculate this, one would need to know the probability of surviving each 8-hour interval and then multiply those two probabilities together to get the total 16-hour survival probability.
