SOLUTION: A company that makes cartons finds that the probability of producing a carton with a puncture is 0.07​, the probability that a carton has a smashed corner is 0.08,and the pro

Algebra ->  Test -> SOLUTION: A company that makes cartons finds that the probability of producing a carton with a puncture is 0.07​, the probability that a carton has a smashed corner is 0.08,and the pro      Log On


   



Question 1120538: A company that makes cartons finds that the probability of producing a carton with a puncture is 0.07​, the probability that a carton has a smashed corner is 0.08,and the probability that a carton has a puncture and has a smashed corner is 0.006.
Answer parts​ (a) and​ (b) below
(a) Are the events​ "selecting a carton with a​ puncture" and​ "selecting a carton with a smashed​ corner" mutually​ exclusive? Explain.
A. ​No, a carton can have a puncture and a smashed corner.
B.Yes, a carton can have a puncture and a smashed corner.
C. No, a carton cannot have a puncture and a smashed corner.
D.​ Yes, a carton cannot have a puncture and a smashed corner.
​(b) If a quality inspector randomly selects a​ carton, find the probability that the carton has a puncture or has a smashed corner.
The probability that a carton has a puncture or a smashed corner is nothing.
​(Type an integer or a decimal. Do not​ round.)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Both can occur together. It says so. If they were mutually exclusive, this wouldn't be the same. B
B. The probability of OR is the probability of each added minus the joint probability or both.
0.07+0.08-0.006=0.144