/sci/ - Science & Math

[Anonymous No.4621524]

In the US...
<span class="math">P(In jail) = 2,418,352/(309*10^6) [/spoiler]
<span class="math">P(Black)=38,929,319/(309*10^6) [/spoiler]
<span class="math">P(Black | In Jail) = (4,347+260)/100,000 [/spoiler]
Bayes' theorem:
<span class="math">P(In Jail| Black) = \frac{P(Black | In Jail) P(In Jail)}{P(Black)} ~0.00286194 [/spoiler]
<span class="math">P(White) = 223,553,265/(309*10^6) [/spoiler]
<span class="math">P(White | In Jail) = (678+91)/10,000 [/spoiler]
<span class="math">P(In Jail | White) = \frac{P(White | In Jail) P(In Jail)}{P(White)~0.000831888} [/spoiler]
<span class="math"> \frac{P(In Jail| Black)}{(In Jail | White)} ~3.4403 [/spoiler]

You are 3 times more likely to go to jail in you're black.