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choli [55]
2 years ago
14

A thief who is particularly knowledgeable about statistics and the legal system determines that if he commits a given heist the

probability that he is never caught is 60%. If he is arrested he will go to trial where there is a 30% chance the jury will acquit him, a 30% chance he is convicted and serves a prison sentence less than five years, and a 40% chance the sentence is more than five years.
What is the probability that the thief is not imprisoned in 5 years?

What is the probability that the thief was arrested given that he is not imprisoned in 5 years?
Mathematics
1 answer:
wolverine [178]2 years ago
3 0

9514 1404 393

Answer:

  about 28.6%

Step-by-step explanation:

The conditional probability equation can be used:

  P(arrested | not in jail) = P(arrested & not in jail)/P(not in jail)

  = 0.24/0.84 = 2/7 ≈ 28.6%

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