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?

9514 1404 393

  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%

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

4.08%

step-by-step explanation: