on1819 20 21 22 23 2425Permutations are special types of combinations in whichElements are dependent eventsO Order does not matterElements are mutually exclusiveOrder matters26 27 28293031 32

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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A and B are two events. Answer True or False to the following statements. AU AC equals the empty set AUB is a subset of AB AAC equals empty set A is a subset of AB A B is a subset of A U B An AC equals the Sample Space AB is a subset of A AU AC equals the Sample Space A is a subset of AU B
At a state senator rally in Atlanta, there are 20 Republicans, 13 Democrats, and 6 Independents in Atlanta. If a person is selected at random, find the probability that he or she is either a Democrat or an Independent. Event A = a person is a democrat Event B = a person is an independent
fill in the blank Independent and Mutually Exclusive Events
Defective components: A lot of 11 components contains 3 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. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA . (b) Find PB|A . (c) Find PA and B . (d) Are A and B independent? Explain.
You roll two dice. Define the two events E sum of the dice is 8 F = you roll at least one five You are wondering if E and F are independent events. To analyze this question you find the following information: P(E)= P(F) = P (EandF) = Since P(E) P(F) (a fraction in lowest form) (a fraction in lowest form) (a fraction in lowest form) (dependent/independent). (is, is not) equal to P(EandF), you conclude that E and F are
3. Casualties of the Titanic In 1912 the Titanic struck an iceberg and sank on its first voyage. Some passengers got off the ship in lifeboats, but many died. The following two-way table gives information about adult passengers who survived and who died, by class of travel. Survived Yes No First 197 122 Class Second 94 167 Third 151 476 Suppose we randomly select one of the adult passengers who rode on the Titanic. Define event D as getting a person who died and event F as getting a passenger in first class. (a) Find P(FC). (b) Find P(not a passenger in first class and survived). (c) Find P(not a passenger in first class or survived).
Conditional Probability and Independence A standard deck of 52 playing cards is well shuffled, and three cards are selected at random without replacement. Let A = three Kings are chosen, B = at least one King is chosen. Find P(B|A).
Discrete Probability: Use a Venn diagram to illustrate A ∩ B = A ∪ B. You may use more than one diagram.

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Permutations are special types of combinations in which Elements are dependent events O Order does not matter Elements are mutually exclusive O Order matters