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On a certain day, a cheese packaging facility packaged 550 units of mozzarella c

ID: 3170598 • Letter: O

Question

On a certain day, a cheese packaging facility packaged 550 units of mozzarella choose. Some of these packages had major flaws, some had minor flaws, and some had both major and minor flaws. The following table presents the results. Find the probability that randomly chosen package has a minor flaw. In a recent semester at a local university, 490 students enrolled in both General Chemistry and Calculus I. Of these students, 83 received an A in general chemistry, 86 received an A in calculus, and 33 received an A in both general chemistry and calculus. Find the probability that a randomly chosen student did not receive an A in general chemistry. 0.169 0.831 0.824 0.763 If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade? 19/52 11/26 17/52 9/26 A single card is drawn from n deck. Find the probability of selecting a heart or a 8. 17/52 1/4 2/13

Explanation / Answer

1) P(minor flow) = (23 + 59) / 550

                          = 0.15

2) P(not receiving A in genral chemistry) = 1 - P(receiving A in genral chemistry)

                                                                 = 1 - 83 / 490

                                                                 = 0.831

3) P(ace or king of hearts or spade) = P(ace) + P(king of hearts) + P(spade) - P(ace and king of hearts) - P(king of hearts and spade) - P(ace and spade) + P(ace and king of hearts and spade)

                                                         = 4/52 + 1/52 + 13/52 - 0 - 0 - 1/52 + 0

                                                         = 17/52

4) P(heart or 8) = P(heart) + P(8) - P(heart and 8)

                         = 13/52 + 4/52 - 1/52

                         = 16/52

                         = 4/13

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