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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

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Solution

Break Down the Problem

  1. 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

  1. Probability Range: The probability range is defined as 0P10 \leq P \leq 1.

Analysis and Detail

  1. Evaluate each option:
    • a. 0.87: This is between 0 and 1, so it is legitimate.
    • b. 12/13: Calculating this gives approximately 0.9230.923, which is also legitimate.
    • c. 0.05: This is clearly between 0 and 1, so it is legitimate.
    • d. 5/4: This equals 1.251.25, 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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