Pregunta
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The weatherman says that there is a chance of rain today.
What is the probability that it will not rain today? 28
What are the odds that it will rain today? 2.57
Simplify your answers and round to the nearest hundredth as needed.

Ask by Barker Powell. in the United States
Mar 29,2025

Solución de inteligencia artificial de Upstudy

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The probability that it will not rain today is 0.28, and the odds that it will rain today are approximately 2.57.

Solución

Step 1: Convert the Given Percentage to Decimal
The weatherman says there is a chance of rain today. In decimal form, this is:
Step 2: Calculate the Probability That It Will Not Rain
The probability that it will not rain is the complement of the probability of rain:
In percentage form, this is .
Step 3: Calculate the Odds That It Will Rain
Odds in favor of an event are given by the ratio of the probability of the event to the probability of its complement. Therefore, the odds that it will rain are:
Dividing:
Final Answers
  • The probability that it will not rain today is (or ).
  • The odds that it will rain today are approximately .

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The Deep Dive

To find the probability that it will not rain today, subtract the chance of rain from 1. So, or .
For the odds that it will rain, you take the probability of rain divided by the probability of no rain. With a chance of rain and a chance of it not raining, the odds are . To express this simply, you can say there are about 2.57 chances of rain for every 1 chance of it not raining.

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