Problem

Explain why the statement is incorrect. The probability of rain tomorrow is $161 \%$. What makes the statment incorrect? A. The probability of an event must be contained in the interval $[1,100]$. B. An event needs to have more than one possible outcome. C. The probability of an event cannot exceed $100 \%$. D. The chance of rain is always more than $100 \%$.

Solution

Step 1 :The statement is incorrect because the probability of an event cannot exceed 100%. This is because probability is a measure of how likely an event is to occur, and it is measured on a scale from 0 to 1, or 0% to 100%. A probability of 0 means the event will not occur, and a probability of 1 or 100% means the event is certain to occur. Therefore, a probability of 161% does not make sense in this context.

Step 2 :Final Answer: \(\boxed{\text{C. The probability of an event cannot exceed } 100 \%\)}

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Source: https://solvelyapp.com/problems/17257/

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