Question

Explain why the statement is incorrect: The probability of rain tomorrow is $150 \%$.

Name: Problem 3, Chapter 3: Elementary Statistics: Picturing the World
Uploaded: 2020-10-13T01:31:34-08:00
Duration: 44 s
Channel: Yingtai Xiao
Description: Explain why the statement is incorrect: The probability of rain tomorrow is 150 %.

   Explain why the statement is incorrect: The probability of rain tomorrow is $150 \%$.

Elementary Statistics: Picturing the World

Ron Larson, Betsy… 6th Edition

Chapter 3, Problem 3

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Solved by Expert Yingtai Xiao

10/13/2020

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Step 1: The given probability of rain tomorrow is $150 \%$. Show more…

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Explain why the statement is incorrect: The probability of rain tomorrow is $150 \%$.

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Key Concepts

Range of Probability Values

The values of probability are bounded by 0 and 1 (or 0% and 100%), reflecting the certainty or impossibility of events. Values outside this range, such as 150%, are incorrect because they violate the fundamental definition of probability, which requires that all probabilities must sum up to 1 (or 100%) for a complete set of outcomes.

Probability

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1 (or equivalently, 0% to 100%). It quantifies uncertainty and is used to assess how probable a specific outcome is within a defined set of possible outcomes.

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