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) (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
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