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Question 25 4 pts 1 Which of the following values cannot be a probability? 0.05\% 0 3/2 \( 1 / 100 \) \( 2 / 3 \) - Previous
Ask by Page Bowers. in the United States
Mar 09,2025
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Answer
The value \(\frac{3}{2}\) cannot be a probability.
Solution
1. A probability must be a number between \(0\) and \(1\) inclusive.
2. The value \(0.05\%\) is equivalent to \(\frac{0.05}{100} = 0.0005\), which is between \(0\) and \(1\).
3. The value \(0\) is valid, since \(0\) is the lowest possible probability.
4. The value \(\frac{3}{2}\) equals \(1.5\), which is greater than \(1\) and thus not a valid probability.
5. The value \(\frac{1}{100}\) is \(0.01\), which is between \(0\) and \(1\).
6. The value \(\frac{2}{3}\) is approximately \(0.667\), which is between \(0\) and \(1\).
Therefore, the value that cannot be a probability is \(\frac{3}{2}\).
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Did you know that probabilities range from 0 to 1? This means 0% (impossible event) and 100% (certain event) are the boundaries. Any value less than 0 or greater than 1, like 3/2 (or 1.5), is simply not a valid probability! In real-life scenarios, understanding probabilities is crucial. For instance, when betting on sports, if the odds suggest a probability greater than 1 or less than 0, you should rethink your investment. Always double-check your calculations to avoid losing money based on unrealistic odds!
