Solving the Probability of Crash for SUV Drivers

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Discussion Overview

The discussion revolves around the probability of accidents for SUV drivers in relation to their use of mobile phones while driving. Participants explore the implications of statistical claims regarding accident likelihood, particularly focusing on the relationship between mobile phone usage and accident rates among SUV drivers compared to other drivers.

Discussion Character

  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that since SUV drivers use their phones four times more often and that this increases accident risk fourfold, they would be 16 times more likely to have an accident than other drivers.
  • Another participant counters that this interpretation means SUV drivers are 16 times more likely to have an accident compared to drivers who do not use a cell phone at all, but only 4 times more likely compared to other drivers who do use phones less frequently.
  • A third participant expresses confusion stemming from a media article that claims 4WD drivers are 16 times more likely to have an accident, indicating a potential misinterpretation of statistical data.
  • Another participant notes that the average reader might misinterpret the statistics presented in the media, leading to misunderstandings about the actual risk levels.
  • A later reply introduces a different solution suggesting a probability of 16/7, indicating further complexity in the calculations and interpretations involved.

Areas of Agreement / Disagreement

Participants do not reach a consensus; there are multiple competing interpretations of the statistics regarding accident likelihood for SUV drivers, and the discussion remains unresolved with differing viewpoints on the implications of the data.

Contextual Notes

There are limitations in the clarity of the original statistical claims, as well as potential misunderstandings stemming from media representations. The discussion highlights the complexity of interpreting statistical data in the context of driving behavior and accident risk.

snowslider
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I am trying to solve this task: The SUV drivers use their telephone four times as often as the drivers of other vehicles. At the same time, using your telephone while driving increases risk of an accident fourfold. Does that mean that the SUV drivers are 16 times more likely to have an accident than other drivers? I would say yes, because 4x4 = 16, but I am still hesitating. Thanks for help.
 
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What it actually means is that SUV drivers in general are 16 times as likely to have an accident as drivers who do not use a cell phone at all while driving. If we simply compare SUV drivers to other drivers, with SUV drivers using cellphones 4 times as frequently as other drivers, then we would only conclude that SUV drivers are 4 times as likely as other drivers to have an accident.
 
Thank you! I am getting really confused because I proceeded from 4WD drivers really as bad as we thought - World - smh.com.au and this sentence "That means drivers of four-wheel-drives are 16 times more likely to have an accident than other drivers because they are four times more likely to use a mobile while driving, she said." just made it even worse... :-/
 
It's kind of hard to tell in the article what the author really means, but I think the average reader will take that statement to mean 4WD drivers are 16 times as likely to be in an accident than other drivers period while what is really implied from the data is what I said in my first post. It's pretty commonplace for statistics to be misused in the media, either deliberately to strengthen weak arguments, or unintentionally because of a lack of understanding on the part of the journalist.
 
Thank you very much for your effort.
 
I am sorry to reopen this thread again... But I found another solution, which tells me that the result is 16/7... I took a picture of the solution, sorry for bad English, just please if you could check it, thank youView attachment 4992
 

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