Exam 4: Probability and Counting Rules

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In a poll of 416 university students, 170 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of Marijuana?

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D

A football team consists of 20 freshmen and 20 sophomores, 12 juniors, and 5 seniors. Four players are selected at random to serve as captains. Find the probability that there Are 2 sophomores and 2 freshmen.

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A

A single card is drawn from a deck. Find the probability of selecting a heart or a 8.

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C

Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. Let C be the event that at least two doors are in the same condition. List the outcomes Of C. [Let "L" designate "locked" and U" designate "unlocked".]

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A fair coin is tossed four times. What is the probability that the sequence of tosses is HHHT?

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Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. List the outcomes of the sample space.

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If two dice are rolled one time, find the probability of getting a sum less than 5.

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Box A contains the numbers 1,2,31,2,3 , and 4 . Box B contains the numbers 5,6,75,6,7 , and 8.A18 . \mathrm { A } _ { 1 } first drawn from Box A and then another number from Box B. Using the figure below, ho outcomes are possible if both numbers are even?  Box A contains the numbers  1,2,3 , and 4 . Box B contains the numbers  5,6,7 , and  8 . \mathrm { A } _ { 1 }  first drawn from Box A and then another number from Box B. Using the figure below, ho outcomes are possible if both numbers are even?    umber is umber is

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In a fish tank, there are 15 goldfish, 6 angelfish, and 18 guppies. If a fish is selected at random, find the probability that it is an angelfish or a guppy.

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Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. Let B be the event that exactly two doors are in the same condition. List the outcomes Of B. [Let "L" designate "locked" and U" designate "unlocked".]

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A coin is tossed 3 times. Find the probability that all 3 tosses are tails.

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A lot of 1000 components contains 150 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Find P(A).

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The Statistics Club at Woodvale College sold college T-shirts as a fundraiser. The results sale are shown below. Choose one student at random. Find the probability that the studen 11-15 T-shirts or less than 6 T-shirts. No. of t-shirts No. of club members 0 2 1-5 13 6-10 10 11-15 6 16-20 5 20+ 2 f the

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The Gift Basket Store had the following premade gift baskets containing the following combinations in stock. Cookies Mugs Candy coffee 5 14 10 Tea 16 13 11 Choose 1 basket at random. Find the probability that it contains tea given that it contain ns mugs.

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A fast-food restaurant chain has 617 outlets in the United States. The following table categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 617 to test market a new menu. Region Population of city NE SE SW NW Under 50,000 27 25 32 22 50,000-500,000 58 45 54 44 Over 500,000 72 127 70 41 Given that the outlet is located in the West (either SW or NW), what is the probability the is in a city with population 50,000−500,00050,000 - 500,000 ?

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The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the Probability that he or she is a factory worker?

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If the probability that it will rain tomorrow is 0.39, what is the probability that it will not rain tomorrow?

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On an eight-question true-false quiz, a student guesses each answer. What is the probability that the student gets at least one of the answers correct?

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A survey asked 32,011 homeowners how many pets they owned. The results were as follc Number of Pets Number of Homeowners 0 5583 1 10,423 2 8856 3 6349 4 or more 800 Total 32,011 What is the probability that a sampled homeowner has three pets? wed:

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How many ways can a student select five questions from an exam containing 12 questions, if one of the five must be the last question?

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