the mathematical study of randomness. sample space the collection of all possible outcomes of a...
DESCRIPTION
EVENT any collection of outcomes from the sample space Rolling a prime #E= {2,3,5}TRANSCRIPT
![Page 1: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/1.jpg)
THE MATHEMATICAL STUDY OF RANDOMNESS
![Page 2: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/2.jpg)
SAMPLE SPACE the collection of all possible outcomes of a chance experiment
Roll a die S={1,2,3,4,5,6}
![Page 3: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/3.jpg)
EVENT any collection of outcomes from the sample space
Rolling a prime # E= {2,3,5}
![Page 4: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/4.jpg)
COMPLEMENT Consists of all outcomes that are not in the event
Not rolling a even #EC={1,3,5}
![Page 5: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/5.jpg)
UNION the event A or B happening
consists of all outcomes that are in at least one of the two events
Rolling a prime # or even numberE={2,3,4,5,6}
BAE
![Page 6: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/6.jpg)
INTERSECTION the event A and B happening
consists of all outcomes that are in both events
Drawing a red card and a “2” E = {2 hearts, 2 diamonds}
BAE
![Page 7: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/7.jpg)
MUTUALLY EXCLUSIVE
(DISJOINT)two events have no outcomes in common
Roll a “2” or a “5”
![Page 8: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/8.jpg)
VENN DIAGRAMSUsed to display relationships between events
Helpful in calculating probabilities
![Page 9: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/9.jpg)
VENN DIAGRAM - COMPLEMENT OF A
AA
![Page 10: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/10.jpg)
VENN DIAGRAM - A OR B
A B
![Page 11: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/11.jpg)
VENN DIAGRAM - A AND B
A B
![Page 12: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/12.jpg)
VENN DIAGRAM - DISJOINT EVENTS
A B
![Page 13: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/13.jpg)
Com Sci
Statistics & Computer Science & not Calculus
Stat Cal
Com Sci
![Page 14: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/14.jpg)
Calculus or Computer Science
Stat Cal
Com Sci
![Page 15: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/15.jpg)
(Statistics or Computer Science) and not Calculus
Stat Cal
Com Sci
![Page 16: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/16.jpg)
Statistics and not (Computer Science or Calculus)
Stat Cal
Com Sci
![Page 17: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/17.jpg)
Stat Cal
Com Sci
Statistics or Computer Science?
30 10520
1010
20
80
170
![Page 18: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/18.jpg)
Stat Cal
Com Sci
Statistics and Computer Science?
30 10520
1010
20
80
20
![Page 19: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/19.jpg)
Stat Cal
Com Sci
Statistics or (Computer Science and Calculus)?
30 20 105
10 20
80
10
90
![Page 20: THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={1,2,3,4,5,6}](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b6a7f8b9ab0599b2dcc/html5/thumbnails/20.jpg)
Stat Cal
Com Sci
(Statistics or Computer Science) and Calculus?
30 20 105
1010
20
80
50