tugas mat presentasi peluang
Post on 06-Jan-2016
234 Views
Preview:
DESCRIPTION
TRANSCRIPT
-
7/17/2019 Tugas Mat Presentasi Peluang
1/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
10
-
7/17/2019 Tugas Mat Presentasi Peluang
2/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
9
-
7/17/2019 Tugas Mat Presentasi Peluang
3/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
8
-
7/17/2019 Tugas Mat Presentasi Peluang
4/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
7
-
7/17/2019 Tugas Mat Presentasi Peluang
5/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
6
-
7/17/2019 Tugas Mat Presentasi Peluang
6/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
5
-
7/17/2019 Tugas Mat Presentasi Peluang
7/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
4
-
7/17/2019 Tugas Mat Presentasi Peluang
8/85
>> 0 >> 1 >> 2 >> 3 >> 4 >>
3
-
7/17/2019 Tugas Mat Presentasi Peluang
9/85>> 0 >> 1 >> 2 >> 3 >> 4 >>
2
-
7/17/2019 Tugas Mat Presentasi Peluang
10/85>> 0 >> 1 >> 2 >> 3 >> 4 >>
1
-
7/17/2019 Tugas Mat Presentasi Peluang
11/85>> 0 >> 1 >> 2 >> 3 >> 4 >>
0
-
7/17/2019 Tugas Mat Presentasi Peluang
12/85
!
-
7/17/2019 Tugas Mat Presentasi Peluang
13/85
DonDon
BoscoBoscoP I C T U R E SP I C T U R E S
-
7/17/2019 Tugas Mat Presentasi Peluang
14/85
P R E S E NTS
-
7/17/2019 Tugas Mat Presentasi Peluang
15/85
a
P R O P A B I L I T Y
X I S I E N E 1
" # s # n $ a $ % o n
-
7/17/2019 Tugas Mat Presentasi Peluang
16/85
G R O U PG R O U P
22
-
7/17/2019 Tugas Mat Presentasi Peluang
17/85
ARIO
ARI&ANDANA'ALI(
-
7/17/2019 Tugas Mat Presentasi Peluang
18/85
EL)IN(AR&ADY
-
7/17/2019 Tugas Mat Presentasi Peluang
19/85
*ARINAD&IYANI+A,ALI
-
7/17/2019 Tugas Mat Presentasi Peluang
20/85
NIATANIA
-
7/17/2019 Tugas Mat Presentasi Peluang
21/85
STE)ENTANI*O
-
7/17/2019 Tugas Mat Presentasi Peluang
22/85
ELUAN
G
-
7/17/2019 Tugas Mat Presentasi Peluang
23/85
S$an-a" *o.#$#nsI
(#n//naan a$"an s$a$%s$%aa%-a #ncacaan -an s%a$s%a$#an/ -aa. #.#caan .asaa
-
7/17/2019 Tugas Mat Presentasi Peluang
24/85
*O(PETENSIDASAR
(#n//naan a$"an #"a%an
#".$as% -an o.%nas%-aa. #.#caan .asaa
(#n#n$an "an/ sa.#
sa$ #"coaan(#n#n$an #an/ sa$
#a-%an -an #nas%"ann:a
-
7/17/2019 Tugas Mat Presentasi Peluang
25/85
L#$;s
-
7/17/2019 Tugas Mat Presentasi Peluang
26/85
Kaidah
Pencacahan(#$o-# a%-a #ncacaan a-a 3 =
> $a#s%an/
> -%a/"a.oon
> #n/%s%an$#.a$:an/$#"s#-%a
-
7/17/2019 Tugas Mat Presentasi Peluang
27/85
contohtabelsilang2dadu
III 1 2 3 4 5 6
1 ?11@ ?12@ ?13@ ?14@ ?15@ ?16@
2 ?21@ ?22@ ?23@ ?24@ ?25@ ?26@
3 ?31@ ?32@ ?33@ ?34@ ?35@ ?36@
4 ?41@ ?42@ ?43@ ?44@ ?45@ ?46@
5 ?51@ ?52@ ?53@ ?54@ ?55@ ?56@
6 ?61@ ?62@ ?63@ ?64@ ?65@ ?66@
-
7/17/2019 Tugas Mat Presentasi Peluang
28/85
contohdiagrampohon2 KOIN
S%s% /a.a" +S%s% an/a A
o%n I o%n IIssnan
+ ?++@ +
A ?+A@
+ ?A+@ A
A ?AA@
-
7/17/2019 Tugas Mat Presentasi Peluang
29/85
Contohpengisiantempatangtersedia
!
-
7/17/2019 Tugas Mat Presentasi Peluang
30/85
con$o soa =
+a"%#a -an T"o: #n-a .#aan#n#"an/an -a"% AS .#n As$"a%a .#a%(#s%" a$a In-%a
Da"% AS # (#s%" a-a 1 a" #n#"an/an -an-a"% (#s%" # As$"a%a a-a 2 a" #n#"an/an
Da"% AS # In-%a a-a 3 a" #n#"an/an -an-a"% In-%a # As$"a%a a-an 2 a" #n#"an/an
T%-a a-a #n#"an/an -a"% (#s%" # In-%a
B#"aa an:a a" #n#"an/an :an/ -aa$-%$#. n$ ##"/%an -a"% AS # As$"a%a
L%a$ %s$"as% -% s%-##"%$n:a
-
7/17/2019 Tugas Mat Presentasi Peluang
31/85
-
7/17/2019 Tugas Mat Presentasi Peluang
32/85
sos% =
Ban:a ca"a ##"/%an -a"% AS#As$"a%a.#a%(#s%"=
Da"% AS # (#s%" -aa$ -%%% 1 a"
#n#"an/anDa"% (#s%" # As$"a%a -aa$ -%%% 2
a" #n#"an/an
Da"% AS # As$"a%a ?.#a% (#s%"@-aa$ -%%% 1 X 2 2 a"#n#"an/an
-
7/17/2019 Tugas Mat Presentasi Peluang
33/85
Ban:a ca"a ##"/%an -a"% AS#As$"a%a.#a%In-%a=
Da"% AS # In-%a -aa$ -%%% 3 a"#n#"an/an
Da"% In-%a # As$"a%a -aa$ -%%% 2 a"#n#"an/an
Da"% AS # As$"a%a ?.#a% In-%a@ -aa$-%%% 3 X 2 6 a" #n#"an/an
Ca-% an:a a" :an/ -aa$ -%$#.-a"% AS # As$"a%a s#"n:a a-a 2 68 a"
-
7/17/2019 Tugas Mat Presentasi Peluang
34/85
"a#torial $%&
n! n ?n1@ ?n2@ ?n3@ 1
n an//o$a -a"% %an/an a$
?n F %an/an a$ @
-
7/17/2019 Tugas Mat Presentasi Peluang
35/85
Permutasi $P&
n an:a ns" :an/ $#"s#-%a" an:a ns" :an/ -%a.%
nP" n !
?n G " @ !
-
7/17/2019 Tugas Mat Presentasi Peluang
36/85
con$o soa =
'o/
-
7/17/2019 Tugas Mat Presentasi Peluang
37/85
sos% =
Ban:a ssnan o"/an%sas% :an/ -aa$ -%#n$ =
8P3
8 !
?8 G 3@ !
8 X 7 H 6 H 5 !
5 !
336 ssnan
-
7/17/2019 Tugas Mat Presentasi Peluang
38/85
Permutasi ang 'emuat
Unsur ang Sama
n an:an:a .a ns"
. an:an:a ns" :an/ sa.a
nP" n !
! ! ( !
-
7/17/2019 Tugas Mat Presentasi Peluang
39/85
con$o soa =
B#"aa an:a ssnan ":an/ -aa$ -%ssn -a"% "
" -aa. a$a (A+IIAN
-
7/17/2019 Tugas Mat Presentasi Peluang
40/85
sos% =
Ban:a " -aa. a$a (A+IIAN 8
Ban:a " :an/ sa.a 2 ?" A@ -an 2 ?" I@
P 8 !
2 ! 2 !
8 X 7 H 6 H 5 H 4 H 3 H 2 !
2 H 1 H 2 !
10080 ssnan "
-
7/17/2019 Tugas Mat Presentasi Peluang
41/85
Permutasi Si#lis
Ps%16%s?n1@!
n an:an:a ns" :an/ $#"s#-%a
-
7/17/2019 Tugas Mat Presentasi Peluang
42/85
con$o soa =
T"o: +a"%#a a- Ta:o" R:an-an Sa"a: aan .#n/a-aan "aa$$#"$$ -% sa$ .#a :an/
#"#n$ %n/a"an B#"aa an:assnan $#.a$ -- :an/ .n/%n$#"a-%
-
7/17/2019 Tugas Mat Presentasi Peluang
43/85
sos% =
Ssnan $#.a$ -- :an/ .n/%n$#"a-% =
Ps%16%s ?61@! 5!
5 H 4 H 3 H 2 H 1120
-
7/17/2019 Tugas Mat Presentasi Peluang
44/85
*o.%nas% ?@
n an:an:a ns" :an/ $#"s#-%a" an:an:a ns" :an/ -%a.%
n"
n !
?n G " @ ! " !
-
7/17/2019 Tugas Mat Presentasi Peluang
45/85
con$o soa =
Da"% 11 no# :an/ $#"-%"% -a"%7 no# 'a"": Po$$#"-an4 no# T
-
7/17/2019 Tugas Mat Presentasi Peluang
46/85
-
7/17/2019 Tugas Mat Presentasi Peluang
47/85
sos% =
3 no# 'a"": Po$$#" -%%% -a"% 7 no#:an/ $#"s#-%a =
73 7 !
?7 G 3@ ! 3 !
7 H 6 H 5 H 4 !
4 ! H 3 H 2 H 1
35 ssnan
-
7/17/2019 Tugas Mat Presentasi Peluang
48/85
2 no# T
-
7/17/2019 Tugas Mat Presentasi Peluang
49/85
Ca-% an:a #.n/%nan
$#"%%n:a 3 no# 'a"": Po$$#" -an2 no# T
-
7/17/2019 Tugas Mat Presentasi Peluang
50/85
Segitiga Pascal
?a@2a2 2a 2
?a@4a4 4a3 6a22 4a3 4
(
( 2 (
( ) ) (
( * + * (
( , (- (- , (
-
7/17/2019 Tugas Mat Presentasi Peluang
51/85
Segitiga Pascal $dengan #ombinasi&
C C
C C C
C C C C
C C C C C
0
1 1
1
1
1
1
0
0
0
2 2 22
2
2
3
3 3 3
3
3
4 4 4 4 4
4
-
7/17/2019 Tugas Mat Presentasi Peluang
52/85
Pen.abaran /inom Ne0ton
?a@n an5% %
% s 1
n
%o
n
%
-
7/17/2019 Tugas Mat Presentasi Peluang
53/85
con$o soa =
T#n$an o#Js%#n s :an/
.#.a$ H:2
a-a #naa"an ?2H :@3!
-
7/17/2019 Tugas Mat Presentasi Peluang
54/85
sos% =
?2H :@3
a 2H
:
n 3
% 2
an% %
?2H@32:2
6H:2
n%
3
2
-
7/17/2019 Tugas Mat Presentasi Peluang
55/85
Peluang Suatu Ke.adian
0 K P?A@ K 1
P?A@ #an/ #a-%an A
n?A@ an:a an//o$a %.nan #a-%an A
n?S@ an:a an//o$a %.nan s#.a#a-%an #.n/%nan "an/ sa.#
"an/ con$o
P?A@ n?A@
n?S@
-
7/17/2019 Tugas Mat Presentasi Peluang
56/85
con$o soa =
Da"% s##"an/a$ a"$ "#.% ?$ana
o#"@ #"aaa #an/ $#"a.%n:aa"$ As
-
7/17/2019 Tugas Mat Presentasi Peluang
57/85
sos% =
P#an/ $#"a.%n:a a"$ As =
P?As@ n?As@
n?S@
4
52
1
13
-
7/17/2019 Tugas Mat Presentasi Peluang
58/85
"re#uensi 1arapan Suatu Ke.adian
M?A@ n H P?A@
M?A@ "##ns% a"aan #a-%an A
n an:an:a #"coaan
P?A@ #an/ #a-%an A
-
7/17/2019 Tugas Mat Presentasi Peluang
59/85
Da -a- -%#.a" #"sa.aans#an:a 36 a% T#n$an "##ns%
a"aan .ncn:a -a .a$a -a-#.a 11 a$a 12 !
con$o soa =
-
7/17/2019 Tugas Mat Presentasi Peluang
60/85
SOLSI =
(%saan E #a-%an .ncn:a -a.a$a -a- #".a 11 a$a 12 .aa E
?56@ ?65@ ?66@ Q n ?E@ 3
P?E@ n?E@
3
1
n?S@ 36 12
M?E@ N H P ?E@ 36 H1
312
-
7/17/2019 Tugas Mat Presentasi Peluang
61/85
Peluang Komplemen suatu #e.adian
P ?A@ 1 P?A@
P?A@ #an/ #a-%an A
P?A@ #an/ #a-%an s#a%n A
-
7/17/2019 Tugas Mat Presentasi Peluang
62/85
con$o soa =
Da a o%n -%#.a" #"sa.asa.a #an/ .ncn:a s%s% /a.a"
a-aa 04 B#"aa #an/.ncn:a s%s% an/a
-
7/17/2019 Tugas Mat Presentasi Peluang
63/85
SOLSI =
P ?/a.a"@ 04
P ?an/a@ 1 G P ?/a.a"@1 G 04
06
-
7/17/2019 Tugas Mat Presentasi Peluang
64/85
Peluang Ke.adian 'a.emu#
P?AB@ P?A@ P?B@ G P?AB@
P?A@ #an/ #a-%an A
P?B@ #an/ #a-%an B
P?AB@ #an/ #a-%an A a$a #a-%an BP?AB@ #an/ #a-%an A -an #a-%an B
-
7/17/2019 Tugas Mat Presentasi Peluang
65/85
iagram 3enn Peluang Ke.adian 'a.emu#
A B
-
7/17/2019 Tugas Mat Presentasi Peluang
66/85
con$o soa =
2 a -a- -%#.a" s#ca"a#"sa.aan '%$n/ #an/
.ncn:a .a$a -a- #"$a.a #%-a"% 5 a$a .a$a -a- #-a#%a$an 3 !
-
7/17/2019 Tugas Mat Presentasi Peluang
67/85
SOLSI =
A{?61@?62@?63@?64@?65@?66@}
B{?13@?16@?23@?26@?33@?36@?43@?46@ ?53@?56@?63@?66@}
P?AB@{?63@?66@}
P?AB@ P?A@ P?B@ G P?AB@
6
12
2
36 36 36
16
4
36 9
-
7/17/2019 Tugas Mat Presentasi Peluang
68/85
Peluang Ke.adian Saling 4epas
P?AB@ P?A@ P?B@
A -an B #a-%an sa%n/ #as ? $%-a$#"a-% s#ca"a #"sa.aan@
P?A@ #an/ #a-%an A
P?B@ #an/ #a-%an BP?AB@ #an/ #a-%an A a$a #a-%an B
-
7/17/2019 Tugas Mat Presentasi Peluang
69/85
iagram 3enn Peluang Ke.adian Saling 4epas
A B
-
7/17/2019 Tugas Mat Presentasi Peluang
70/85
con$o soa =
2 a -a- -%#.a" 1 a% s#ca"a#"sa.aan '%$n/a #an/
.ncn:a .a #-a .a$a -a- 2a$a 5
-
7/17/2019 Tugas Mat Presentasi Peluang
71/85
SOLSI =
n?S@ 36
A a-aa #"%s$%
-
7/17/2019 Tugas Mat Presentasi Peluang
72/85
P?AB@ P?A@ P?B@
n?A@
n?B@
n?S@ n?S@
1
4
36 36
5
36
-
7/17/2019 Tugas Mat Presentasi Peluang
73/85
Peluang Ke.adian Saling bebas
P?AB@ P?A@ H P?B@
A -an B #a-%an sa%n/ #as ?$%-asa%n/ .#.#n/a"%
-
7/17/2019 Tugas Mat Presentasi Peluang
74/85
con$o soa =
Sa$ a -a- -an sa$ a an/o/a. -%#.a" #"sa.aan
B#"aaa #an/ .ncn:a.a$a -a- 2 -an s%s% /a.a" a-aan/ o/a.
-
7/17/2019 Tugas Mat Presentasi Peluang
75/85
SOLSI =
P ?A@ #an/ .ncn:a .a$a -a- 2P ?B@ #an/ .ncn:a s%s% /a.a" a-a an/
o/a.
P?B@
1
2P?A@
1
6
P?AB@ P?A@ X P?B@
1
X
1
6 2
1
12
-
7/17/2019 Tugas Mat Presentasi Peluang
76/85
Peluang Ke.adian /ersarat
P#an/ #a-%an A -#n/an s:a"a$ #a-%an B $#"a-% #% -a-%$#n$an -#n/an a$"an =
P#an/ #a-%an B -#n/an s:a"a$ #a-%an A $#"a-% #% -a-%$#n$an -#n/an a$"an =
P?AB@ P?AB@P?AB@ P?AB@
P?A|B@
P?AB@
P?B@
P?B|A@
P?AB@
P?A@
-
7/17/2019 Tugas Mat Presentasi Peluang
77/85
con$o soa =
*#a-%an A .#.n:a% #an/ P?A@15 -an #a-%an B .#.n:a%#an/ P ?B@ 12 B#"aaa P?A|B@
-
7/17/2019 Tugas Mat Presentasi Peluang
78/85
SOLSI =
P ?A|B@ P ?AB@
P?B@
110
12
15
-
7/17/2019 Tugas Mat Presentasi Peluang
79/85
T'E END
-
7/17/2019 Tugas Mat Presentasi Peluang
80/85
DIRETED BY
ARIO ARI&ANDANA 'ALI(
-
7/17/2019 Tugas Mat Presentasi Peluang
81/85
SLIDEPLAY BY
EL)IN (AR&ADY
-
7/17/2019 Tugas Mat Presentasi Peluang
82/85
PRODER
*ARINA D&IYANI +A,ALI
-
7/17/2019 Tugas Mat Presentasi Peluang
83/85
DIRETOR OM ANI(ATION
STE)EN TANI*O
-
7/17/2019 Tugas Mat Presentasi Peluang
84/85
EDITED BY
NIA TANIA
-
7/17/2019 Tugas Mat Presentasi Peluang
85/85
co:"%/$ 2009
top related