\( 10(5.1,5.2) \) What is the probability of an event that is impossible? Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is impossible? What is the probability of an event that is impossible? 0 (Type an integer or a decimal.) Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is impossible? \( 26 \% \), 13 of 50 points No 1 Port Yes
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An impossible event has a probability of exactly 0. In the world of probabilities, this means that under no circumstances can the event occur. For instance, rolling a 7 on a standard six-sided die is impossible, so it gets a firm score of zero on the probability scale! Now, just because empirical evidence suggests a probability is very close to zero does not automatically denote impossibility. It’s entirely possible for an event to have a very low probability based on observed data, yet still have a non-zero chance of occurring. Think of rare events, like winning the lottery—extremely unlikely, but definitely not impossible!
