Which of the following is not a legitimate probability value?Select one:a.0.87.b.12/13.c.0.05.d.5/4.e.0.93.
Question
Which of the following is not a legitimate probability value?
Select one:
- a.
0.87
- b.
12/13
- c.
0.05
- d.
5/4
- e.
0.93
Solution
Break Down the Problem
- Understanding legitimacy of probability values: A legitimate probability value must lie between 0 and 1, inclusive. This means that any probability value cannot be less than 0 or greater than 1.
Relevant Concepts
- Probability Range: The probability range is defined as .
Analysis and Detail
- Evaluate each option:
- a. 0.87: This is between 0 and 1, so it is legitimate.
- b. 12/13: Calculating this gives approximately , which is also legitimate.
- c. 0.05: This is clearly between 0 and 1, so it is legitimate.
- d. 5/4: This equals , which is greater than 1 and thus not legitimate.
- e. 0.93: This is between 0 and 1, so it is legitimate.
Verify and Summarize
After evaluating all the options, we find that options a, b, c, and e are legitimate probability values; however, option d (5/4) is not a legitimate probability.
Final Answer
The option that is not a legitimate probability value is d. 5/4.
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