QuestionMay 23, 2025

Question 1 (5 points) What does it mean when we say something is "probable" or "improbable"? square

Question 1 (5 points) What does it mean when we say something is "probable" or "improbable"? square
Question 1 (5 points) What does it mean when we say something is "probable" or "improbable"? square

Solution
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Answer

"Probable" means an event has a high likelihood of occurring (greater than 50%), while "improbable" means it has a low likelihood (less than 50%). Explanation 1. The terms "probable" and "improbable" refer to the likelihood of an event occurring. An event is considered probable if it has a high chance of happening, typically greater than 50%. Conversely, an event is deemed improbable if it has a low chance of occurring, usually less than 50%. 2. In probability theory, we quantify these concepts using values between 0 and 1. A probability close to 1 indicates that an event is likely (probable), while a probability close to 0 suggests that it is unlikely (improbable). For example, a probability of \frac{3}{4} means the event is probable, whereas a probability of \frac{1}{4} indicates it is improbable.

Explanation

1. < Understanding Probability ><br /> The terms "probable" and "improbable" refer to the likelihood of an event occurring. An event is considered probable if it has a high chance of happening, typically greater than 50%. Conversely, an event is deemed improbable if it has a low chance of occurring, usually less than 50%.<br /><br />2. < Defining Probabilities ><br /> In probability theory, we quantify these concepts using values between 0 and 1. A probability close to 1 indicates that an event is likely (probable), while a probability close to 0 suggests that it is unlikely (improbable). For example, a probability of $\frac{3}{4}$ means the event is probable, whereas a probability of $\frac{1}{4}$ indicates it is improbable.
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