Probability question (details on image)

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Homework Help Overview

The discussion revolves around a probability problem involving noncommunicable diseases in underdeveloped countries, specifically focusing on interpreting Venn diagrams and calculating conditional probabilities.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate probabilities using multiplication of given rates but questions the correctness of their approach. Some participants discuss the interpretation of Venn diagrams and how to extract relevant probabilities from them. Others raise questions about how to find specific areas represented in the diagrams.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the diagrams and questioning the calculations presented. Some guidance on the structure of conditional probability has been offered, but no consensus or resolution has been reached.

Contextual Notes

Participants are working with specific probabilities provided in the problem, including values related to deaths from noncommunicable diseases and overall death rates in underdeveloped countries. There is an emphasis on understanding how these probabilities interact within the context of the Venn diagrams.

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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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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?
 
In the third diagram, you are only interested in the areas that relate to the given condition. What are the numbers in those?
 
Conditional probability questions should look something like:
P(N|U)=P(N and U)/P(U).
You have both of those probabilities.
 

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