bs This Question: 1 pt 48 of 17 (7 complete) This Quiz: 17 pts possit Question H
ID: 3374862 • Letter: B
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bs This Question: 1 pt 48 of 17 (7 complete) This Quiz: 17 pts possit Question Help A company that makes cartons finds that the probability of producing a carton with a puncture is 003, the probability that a carton has a smashed cormer is 0 08, and the probability that a carton has a puncture and has a smashed coner is 0 002 Answer parts (a) and (b) below tion (a) Ace the events "selecting a carton with a puncture" and 'selecting a carton with a smashed comer mutually exckusive? Explain tion OA. No, a carton cannot have a puncture and a smashed comer moc. Yes, a carton cannot have a puncture and a smashed comer OB. Yes, a carton can have a puncture and a smashed corner O D. No, a carton can have a puncture and a smashed corner b) I a quality inspector randomly selects a caton, find the probability that the carton has a puncture or has a smashed comer The probablity that a cartion has a puncture or a smashed corner is (Type an integer or a decimal. Do not round ) to Click to select your answer s) 8 8 9 0Explanation / Answer
8 a) No the events are not mutually exclusive
The probability that cartoon has a puncture and smashed corner is 0.002.
Option D is right
b) probability of having a puncture or smashed corner is
P(A U B) = P(A)+P(B)-P(A & B) = 0.03+0.08-0.002 = 0.108.
a) probability of queen or five is 1/13 + 1/13 = 2/13 = 0.153
b) probability of queen or five or ace is 1/13 + 1/13 + 1/13 = 3/13 = 0.2307
c) probaility of ten or heart is 1/13 +1/4 - 1/52 = 16/52 = 4/13 = 0.3076
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