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EVENT any collection of outcomes from the sample space Rolling a prime #E= {2,3,5}
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THE MATHEMATICAL STUDY OF RANDOMNESS
SAMPLE SPACE the collection of all possible outcomes of a chance experiment
Roll a die S={1,2,3,4,5,6}
EVENT any collection of outcomes from the sample space
Rolling a prime # E= {2,3,5}
COMPLEMENT Consists of all outcomes that are not in the event
Not rolling a even #EC={1,3,5}
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
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
MUTUALLY EXCLUSIVE
(DISJOINT)two events have no outcomes in common
Roll a “2” or a “5”
VENN DIAGRAMSUsed to display relationships between events
Helpful in calculating probabilities
VENN DIAGRAM - COMPLEMENT OF A
AA
VENN DIAGRAM - A OR B
A B
VENN DIAGRAM - A AND B
A B
VENN DIAGRAM - DISJOINT EVENTS
A B
Com Sci
Statistics & Computer Science & not Calculus
Stat Cal
Com Sci
Calculus or Computer Science
Stat Cal
Com Sci
(Statistics or Computer Science) and not Calculus
Stat Cal
Com Sci
Statistics and not (Computer Science or Calculus)
Stat Cal
Com Sci
Stat Cal
Com Sci
Statistics or Computer Science?
30 10520
1010
20
80
170
Stat Cal
Com Sci
Statistics and Computer Science?
30 10520
1010
20
80
20
Stat Cal
Com Sci
Statistics or (Computer Science and Calculus)?
30 20 105
10 20
80
10
90
Stat Cal
Com Sci
(Statistics or Computer Science) and Calculus?
30 20 105
1010
20
80
50