Exam 4: Probability and Counting Rules

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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.

(Multiple Choice)
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A poll was taken of 13,863 working adults aged 40-70 to determine their level of educatic The participants were classified by sex and by level of education. The results were as folls Education Level Male Female Total High School or Less 3043 2133 5176 Bachelor's Degree 3428 4150 7578 Master's Degree 554 423 977 Ph.D. 72 60 132 Total 7097 6766 13,863 A person is selected at random. Compute the probability that the person is male or has a P .D.

(Multiple Choice)
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In a poll of 667 university students, 313 said that they were opposed to legalizing marijuana. Estimate the percentage of students who oppose legalizing marijuana.

(Multiple Choice)
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A group of 6 children are choosing colored pencils to draw a picture. Each child is allowed to select one color. The available colors are green, red, and blue. If the second Child refuses to use red pencils and the third child refuses to use blue pencils, then how Many ways are there for the children to choose pencils? Assume that there are 12 pencils Available of each color, and different children are allowed to choose the same color.

(Multiple Choice)
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 Evaluate the permutation: 10P8\text { Evaluate the permutation: } { } _ { 10 } P _ { 8 }

(Multiple Choice)
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 If P(A)=0.46,P(B)=0.5, and A and B are mutually exclusive, find P(A or B). \text { If } P ( A ) = 0.46 , P ( B ) = 0.5 \text {, and } A \text { and } B \text { are mutually exclusive, find } P ( A \text { or } B ) \text {. }

(Multiple Choice)
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A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probability of getting 1 grape ball, 1 cherry ball, and 1 Lemon ball if each ball was removed and then replaced before choosing the next from the Machine?

(Multiple Choice)
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For the event described below, which of the following represents the complement of the event. A sample of 363 software DVDs was selected. At least 29 of these were defective.

(Multiple Choice)
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A group of 10 male and 8 female students is talking about going out for pizza. If 50% of the male students actually go and 25% of the female students actually go, find the Probability that a random student who goes out for pizza is female.

(Multiple Choice)
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Classical probability was the first type of probability studied formally by mathematicians of the 17th and 18th centuries.

(True/False)
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In a physics class there are 12 juniors and 16 males; so there must be 28 male juniors in this class.

(True/False)
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A probability experiment is conducted. Which of these cannot be considered a probability outcome?

(Multiple Choice)
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A furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is available in every size, then the total number of different bookcases is

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Evaluate the factorial: 10!

(Multiple Choice)
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Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be Advisors. If each professor has an equal chance of being selected, what is the probability That both professors are chemistry professors?

(Multiple Choice)
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On a certain day, a cheese packaging facility packaged 550 units of mozzarella cheese. Some of these packages had major flaws, some had minor flaws, and some had both major andminor flaws. The following table presents the results. Minor Flaw No Minor Flaw Major Flaw 23 27 No Major Flaw 59 441 Find the probability that randomly chosen cheese package has a minor flaw.

(Multiple Choice)
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Find the probability of selecting 3 science books and 4 math books from 8 science books and 9 math books. The books are selected at random.

(Multiple Choice)
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There are 27,842 undergraduate students enrolled at a certain university. The age distribution is as follows: Age Range Number 13-14 2 15-17 49 18-22 11,563 23-30 9568 31 and up 6660 Total 27,842 What is the probability that a student is between 23 and 30 years old?

(Multiple Choice)
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If there are 12 equally likely events, then the probability of the first one occurring is 1/

(True/False)
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How many possible outcomes would there be if three coins were tossed once?

(Multiple Choice)
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