Probability question (details on image)

In summary, The conversation is discussing the calculation of the probability of a noncommunicable disease in an underdeveloped country. The initial attempt at a solution resulted in an incorrect answer, but it is determined that the images provided were Venn diagrams. The correct method for finding the probability is to use conditional probability, specifically P(N|U)=P(N and U)/P(U), where the given probabilities are 0.56 for death from a noncommunicable disease and 0.78 for death in an underdeveloped country. The orange area in the third diagram, representing the probability of a noncommunicable disease in an underdeveloped country, is found by subtracting the overlapping areas from the given probabilities.
  • #1
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Homework Statement

Homework Equations

The Attempt at a Solution


The superimposed diagram shows that the probability of a noncommunicable disease in a underdeveloped country is 0.37. But it's not correct…

I tried 0.56*0.78 = 0.44 as the probability of a noncommunicable disease in a underdeveloped country since the probability of a death from a noncommunicable disease is 0.56 and the probability of death in a underdeveloped country is 0.78. The answer is also wrong..

What am I doing wrong. How do you solve this?
 

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  • #2
it looks like the images are venn diagrams. From the middle diagram you get the .22 in the D set which in the third diagram is 0.02+0.01+0.19

So how would you find the orange area ie the 0.37 area given the 0.78 and the 0.09 and the 0.32?
 
  • #3
In the third diagram, you are only interested in the areas that relate to the given condition. What are the numbers in those?
 
  • #4
Conditional probability questions should look something like:
P(N|U)=P(N and U)/P(U).
You have both of those probabilities.
 

1. What is the definition of probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

2. How is probability calculated?

Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This can be represented as a fraction, decimal, or percentage.

3. What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumes all outcomes are equally likely. Experimental probability is based on actual data collected from an experiment or real-life situations.

4. How does probability relate to statistics?

Probability is a fundamental concept in statistics. It allows us to make predictions and draw conclusions based on data and observations. Statistics uses probability to analyze and interpret data, and to make inferences about a larger population.

5. Can probability be calculated for all types of events?

Yes, probability can be calculated for any type of event, including simple events (such as flipping a coin), compound events (such as rolling two dice), and complex events (such as weather patterns). However, the accuracy of the probability calculation may vary depending on the type of event and the available data.

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