1๋ฒ
At a certain stage of a criminal investigation, the inspector in charge is 60% convinced of the guilty of a certain suspect.
Suppose now that a new piece of evidence that shows that the criminal has a left-handedness is uncovered.
If 20% of population possesses this characteristic, how certain of the guilt of the suspect should the inspector now be if it turns out that the suspect is among this group?
0.8823529411764707
2๋ฒ
After that, the new evidence is subject to different possible interpretations, and in fact only shows that it is 90% likely that the criminal possess this characteristic.
In this case how likely would it be that the suspect is guilty?
0.8709677419354838
1๋ฒ๊ณผ 2๋ฒ์ ์๋ก ์ฌ์ ์ฌํ๋ก ์ํฅ์ ์์ฃผ๊ณ , ๊ทธ์ ๋ฒ์ธ์ด ์ผ์์ก์ด์ผ ๊ฐ๋ฅ์ฑ์ 100%๋ก ๋ณด๋๋ 90%๋ก ๋ณด๋๋ ์ฐจ์ด๋ง ๋์๋๋ฐ, 1๋ฒ์ ๋ฒ์ธ์ผ ํ๋ฅ ์ ์ ๋ฐ์ดํธํด์ ํ๋ ๊ฒ๋ ์๊ฐํด๋ด์ผ๊ฒ ์ต๋๋ค.
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