Difference between revisions of "Data and Chance"

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{{Baby CTY Courses}}
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{{Infobox
[[Data and Chance]] is a [[Baby CTY]] course where students are introduced to chance and probability. Its course code is [[Data and Chance|DACH]]. This course is offered at:
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| title  = Data and Chance
 
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| header1 = Mathematics Course
Both Sessions: [[Chestertown]], [[Palo Alto]] and [[Los Angeles (Windward)]]
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| label2 = Course Code | data2 = [[Data and Chance|DACH]]
 
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| label3 = Year Opened | data3 = 2003
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| label4 = Sites Offered | data4 = [[CGV]], [[SRF]], [[WLA]]
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| label5 = Previously Offered | data5 = [[CHS]], [[MSA]], [[NRS]], [[PAL]][[WIN]]
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}}
 
==Course Description==
 
==Course Description==
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[https://web.archive.org/web/20030405044353/http://cty.jhu.edu:80/summer/employment/math_cs.html#dach From the CTY Course Catalog] (2003):
  
From the CTY Summer Catalog:
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Behind only one of three doors is a fabulous prize. After you choose door #1, the host reveals door #2 has nothing behind it. She then offers you the opportunity to change your selection. Should you switch to door #3? This classic example of conditional probability, in which you determine the chance of something happening given that something else already has, is not as simple as it seems.
  
You meet a new friend at CTY who teaches you a dice game. The rules are simple: if you roll a 4, you win and the game ends. If your friend rolls a 5, she wins and the game ends. You take turns rolling until one person wins. If you roll first, what is the probability that you will win the game? There are several ways to solve this problem, and the answer is not obvious.
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This course develops greater understanding of data and chance, two areas of mathematics that easily transfer from the classroom to the real world. Students conduct experiments and generate data which they display in graphs, charts, and tables to compare the effects of particular variables. For example, students might analyze data to examine how various design characteristics of a paper airplane, such as weight or length, affect the distance it will travel. Students also consider other data sources, including newspapers and journals, and identify examples of incorrectly gathered or misrepresented data that have been used to mislead consumers or influence voters.
  
In this course, students develop a greater understanding of probability and statistics, two areas of mathematics that easily transfer from the classroom to the real world. Students conduct experiments and generate data which they display in graphs, charts, and tables in order to compare the effects of particular variables. For example, students might analyze data to examine how various design characteristics of a paper airplane, such as weight or length, affect the distance it will travel. In addition, students consider other data sources, including newspapers and journals, and identify examples of incorrectly gathered or misrepresented data that have been used to mislead consumers or influence voters.
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Students also explore probability, the study of chance, to learn how numerical data are used to predict future events. Students examine permutations and combinations; develop strategies for calculating the number of possible outcomes for various events; calculate probabilities of independent, dependent, and compound events; and learn to distinguish between theoretical and experimental probability.
  
Students also explore probability, the study of chance, to learn how to use numerical data to predict future events. Students examine permutations and combinations; develop strategies for calculating the number of possible outcomes for various events; calculate probabilities of independent, dependent, and compound events; and learn to distinguish between theoretical and experimental probability.
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By the way, the answer to the question is, you should switch.
  
Students must have completed grades: 5 or 6
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[[Category: Courses]]
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[[Category: Chestertown]]
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[[Category: Collegeville]]
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[[Category: Los Angeles (Windward)]]
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[[Category: Palo Alto]]
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[[Category: San Rafael]]
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[[Category: Santa Monica]]
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[[Category: Venice]]
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[[Category: West Los Angeles (Mirman)]]
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[[Category: Palatine]]

Latest revision as of 17:43, 7 November 2023

Data and Chance
Mathematics Course
Course CodeDACH
Year Opened2003
Sites OfferedCGV, SRF, WLA
Previously OfferedCHS, MSA, NRS, PAL, WIN

Course Description

From the CTY Course Catalog (2003):

Behind only one of three doors is a fabulous prize. After you choose door #1, the host reveals door #2 has nothing behind it. She then offers you the opportunity to change your selection. Should you switch to door #3? This classic example of conditional probability, in which you determine the chance of something happening given that something else already has, is not as simple as it seems.

This course develops greater understanding of data and chance, two areas of mathematics that easily transfer from the classroom to the real world. Students conduct experiments and generate data which they display in graphs, charts, and tables to compare the effects of particular variables. For example, students might analyze data to examine how various design characteristics of a paper airplane, such as weight or length, affect the distance it will travel. Students also consider other data sources, including newspapers and journals, and identify examples of incorrectly gathered or misrepresented data that have been used to mislead consumers or influence voters.

Students also explore probability, the study of chance, to learn how numerical data are used to predict future events. Students examine permutations and combinations; develop strategies for calculating the number of possible outcomes for various events; calculate probabilities of independent, dependent, and compound events; and learn to distinguish between theoretical and experimental probability.

By the way, the answer to the question is, you should switch.