Pregunta
A 12-sided die is rolled. The set of equally likely outcomes is
.
Find the probability of rolling a number greater than 20 .
The probability of rolling a number greater than 20 is
(Type an integer or a simplified fraction.)
Find the probability of rolling a number greater than 20 .
The probability of rolling a number greater than 20 is
(Type an integer or a simplified fraction.)
Ask by Ingram Best. in the United States
Mar 31,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The probability of rolling a number greater than 20 is 0.
Solución
Step 1: List the outcomes of rolling the die
The possible outcomes are:
The possible outcomes are:
Step 2: Identify the favorable outcomes
We are looking for outcomes where the number is greater than 20. Since every outcome is less than or equal to 12, there are no outcomes that are greater than 20.
We are looking for outcomes where the number is greater than 20. Since every outcome is less than or equal to 12, there are no outcomes that are greater than 20.
Step 3: Calculate the probability
The probability is given by:
The probability is given by:
Since there are 0 favorable outcomes, we have:
Thus, the probability of rolling a number greater than 20 is
.
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Como
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Beyond the Answer
When rolling a 12-sided die, the possible outcomes are limited to the numbers 1 through 12. Since all these numbers are less than 20, there are no outcomes that satisfy the condition of rolling a number greater than 20.
Therefore, the probability of rolling a number greater than 20 is

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