PEMERINTAH KABUPATEN KABUPATEN PEKALONGAN DINAS PENDIDIKAN PENDIDIK AN DAN KEBUDAY KEBUDAYAAN
SMK 1 SRAGI Jl. Raya Sragi No. 139 B Tl!. "#$%&' (()&(#& Ka*. P+alo,ga, -*i/ 0 .2+1ragi.4.i5 62ail 0 2+1ragi7ya4oo.o.i5
RENCANA PELAKSANAAN PEMBELAJARAN (RPP) Nomor : MTK/XI/4/3.26/2018
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SMK 1 SRAGI T+,i +,i+ + Bi, Bi,i i S! S!5a 5a Mo/o Mo/orr I 8 ( MATEMATIKA PELUANG < ( = (& MENIT
KMPETENSI INTI M2a M2a4a 4a2i 2i>> 2, 2,rra!+a a!+a,> ,> 5a, 2,g 2,ga, a,al ali ii i !,g !,g/a /a4; 4;a, a, ?a+/ ?a+/;a ;al> l> +o, +o,! !/; /;al al>> !ro !ro5; 5;ra ral> l> 5a, 2/a+og,i/i? *r5aar+a, raa i,gi, /a4;,ya /,/a,g il2; !,g/a4;a,> /+,ologi> ,i> *;5aya> 5a, 4;2a,iora 5,ga, 5,ga, aaa, +2a,;iaa,> +2a,;iaa,> +*a,gaa,> +*a,gaa,> +,garaa,> 5a, !ra5a* !ra5a*a, a, /r+ai/ /r+ai/ !,y*a* !,y*a* ?,o2, ?,o2,a a 5a, +:a5ia,> +:a5ia,> r/a 2,ra! 2,ra!+a, +a, !,g/a4; !,g/a4;a, a, !ro5;ral !a5a *i5a,g +a:ia, ya,g !i@i+ ;ai 5,ga, *a+a/ 5a, 2i,a/,ya ;,/;+ 22a4+a, 2aala4.
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Ma2!; 2,ylai+a, 2aala4 ya,g *r+ai/a, 5,ga, ,ilai !l;a,g +:a5ia, ali,g l!a. M,ylai+a, 2aala4 ya,g *r+ai/a, 5,ga, ,ilai !l;a,g +:a5ia, ali,g **a. M,ylai+a, 2aala4 ya,g *r+ai/a, 5,ga, *a,ya+,ya ?r+;,i 4ara!a, ;a/; +:a5ia,.
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MATERI PEMBELAJARAN
A. P#r$o%&&' &' P#*&'+ S*&,* K#-&&' S/ia! !ro ya,g 2,g4ail+a, ;a/; +:a5ia, 5i*;/ percobaan. Mial,ya +i/a 2l2!ar+a, *;a4 5a5; *a,ya+ a/; +ali> 2a+a 4ail ya,g +l;ar a5ala4 a,g+a 1> $> 3> (> & a/a; <. S2;a 4ail ya,g 2;,g+i, 5ari ;a/; !ro*aa, 5i*;/ ruang sampel, *iaa,ya 5i,ya/a+a, 5,ga, S> 5a, /ia! 4ail 5ala2 r;a,g a2!l 5i*;/ titik sampel . Ba,ya+,ya a,ggo/a 5ala2 S 5i,ya/a+a, 5,ga, n(S).
Mial,ya> 5ari !ro*aa, !l2!ara, *;a4 5a5;> 2a+a S 1> $> 3> (> &> 2a+a *ila,ga, i/; 5i*;/ kejadian. Ja5i> +:a5ia, a5ala4 4i2!;,a, *agia, 5ari r;a,g a2!l. Ji+a r;a,g a2!l S 22!;,yai a,ggo/a ya,g *r4i,gga *a,ya+,ya 5a, /ia! /i/i+ a2!l 22!;,yai +2!a/a, ;,/;+ 2;,;l ya,g a2a> 5a, A ;a/; +:a5ia, 2;,;l,ya !ro*aa, /r*;/> 2a+a !l;a,g +:a5ia, A 5i,ya/a+a, 5,ga, 0
P(A)
( )
n A
P"A' Pl;a,g 2;,;l A ,"A' *a,ya+,ya +:a5ia, A
Ja5i> 4"A' P"A' = , 3<# 1 2
1%# +ali. C. K#5&,&' &' K#m*,&&' Pl;a,g ;a/; +:a5ia, 22!;,yai ,ilai # P 1> ar/i,ya 0 :i+a P # 2a+a +:a5ia, 5ari ;a/; !ri/ia a5ala4 2;/a4il a/a; /i5a+ !r,a4 /r:a5i> 5a, :i+a P 1 2a+a ;a/; !ri/ia !a/i /r:a5i. !. Kom5#m#' &r S*&,* #-&&' Ji+a A 2,ya/a+a, +o2!l2, 5ari +:a5ia, A> 2a+a 0
P(A#) $ %
Co',o: Mial+a, 5ila+;+a, !,g;,5ia, 5;a ;a,g loga2 R! 1##>## +alig;> *ra!a !l;a,g /i5a+ 5i!rol4,ya A,g+a 1## F J&&%: S GG> GA> AG> AAC ,"S' ( M +:a5ia, 2;,;l,ya a,g+a 1## GA> AG> AAC ,"M' 3 P"M'
( ) ( )
n M
3
A B P "A B' P"A' P"B'
1
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1
2
2
2. Peluang Bersyarat Ji+a A 5a, B a5ala4 5;a +:a5ia, 5ala2 r;a,g a2!l S 5a, P"A' #> 2a+a !l;a,g *ryara/ 5ari B ya,g 5i*ri+a, A 5i5@i,ii+a, *agai 0
P(&A)
( ∩ B)
atau P(A &) P(A). P(&A)
P A
P"BA' 5i*aa !l;a,g +:a5ia, B :i+a +:a5ia, A ;5a4 /r:a5i. Co',o: S*;a4 5a5; 5il2!ar . T,/;+a, !l;a,g *a4a !l2!ara, i/; a+a, 2,g4ail+a, a,g+a +;ra,g 5ari (> :i+a 0 a. /i5a+ a5a yara/ lai, 5i*ri+a, *. !l2!ara, 2,g4ail+a, /i/i+ 5a5; ya,g *ra,g+a ga,:il J&&%: a. Mial A a5ala4 !ri/ia 2;,;l,ya a,g+a +;ra,g 5ari (> 2a+a0 A 1> $> 3C P"1' P"$' P"3' 1
Pa5a +:a5ia, 2a/a ;a,g !r/a2a 2;,;l G 1 5a, 2a/a ;a,g +5;a 2;,;l G $> 2a+a P"G1'
5a, 1 2
P"G$'
. K:a5ia, G1 5a, G $ a5ala4 5;a +:a5ia, ya,g ali,g **a. 1 2
P"G1>G$' P"G 1G$' P"G1' = P"G$'
=
. Sara ;2;2> :i+a A 5a, B
1
1
1
2
2
4
2r;!a+a, 5;a +:a5ia, ya,g ali,g **a 2a+a !l;a,g +:a5ia, A 5a, B a5ala4 0
P(A &) P(A) " P(&)
Co',o: D;a *;a4 5a5; *r2a/a ,a2> ya,g /r5iri a/a ar,a 2ra4 5a, !;/i4> 5i//o *ra2a6a2a a/; +ali. Bra!a !l;a,g 2;,;l,ya 2a/a l*i4 5ari ( ;,/;+ 5a5; 2ra4 5a, +;ra,g 5ari 3 ;,/;+ 5a5; !;/i4 F J&&%: Ji+a A +:a5ia, 2;,;l 2a/a (> 2a+a ,"A' $ P"A' 2 6
=1 3
/,/a,g +:a5ia, 2a:2;+. &. G;r; 2,:la+a, /;:;a, !2*la:ara, ya,g i,gi, 5ia!ai. I,/i
1. G;r; 22*agi ia + 5ala2 < +lo2!o+ 5,ga, 2ai,g62ai,g +lo2!o+ /r5iri 5ari < ora,g 2. G;r; 2,;ga+a, ia 22*aa *;+; 5a, 22*agi+a, LAS ;,/;+ 2,,/;+a, ,ilai !l;a,g . 3. K2;5ia, ia 22*aa *;+; 2,gr:a+a, LAS !l;a,g " m#'+&m&,'
5,ga,
4. Sia 2,5i+;i+a, !l;a,g *r5aar+a, 4ail 22*aa *;+; 5a, 5i+;i & m#r*m*&' 4al64al a!a a:a ya,g 4ar; 5i!r4a/i+a, 5ala2 2,,/;+a, ,ilai !l;a,g "m#'&'9&' . G;r; 22i,/a ia ;,/;+ 2,,/;+a, !ro5;r 5ala2 2,,/;+a, ,ilai !l;a,g ;ai a/;ra, 2lal;i *;+; ia 5a, 4ail 5i+;i 6. Sia 2,ggali i,?or2ai !ro5;r /,/a,g 2,,/;+a, !r*a,5i,ga, ,ilai /rigo,o2/ri !a5a gi/iga i+;6i+;."m#'++& ';orm&'
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P,;/;!
1. G;r; 22*i2*i,g 5a, 22o/iai ia 5ala2 22*;a/ +i2!;la,. $. G;r; 22*ri+a, PR. 3. G;r; 22*ri/a4;+a, +!a5a ia *a4a 2a/ri la,:;/,ya a5ala4 ,ilai !l;a,g 5ala2 *,/;+ ,o/ai ?a/orial r/a !,giia, slott . (. G;r; 2,ga+4iri +gia/a, *la:ar 5,ga, 22*ri+a, !a, ;,/;+ //a! *la:ar> 5ila,:;/+a, 22*ri ala2 !,;/;!.
1# 2,i/
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P,5a4;l;a,
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1. G;r; 2,g;a!+a, ala2 !2*;+a> 5ila,:;/+a, *r5oa *ra2a *l;2 2;lai !la:ara,. $. G;r; 2,g+ +4a5ira, ia. 3. G;r; 22*ri+a, ga2*ara, /,/a,g !,/i,g,ya 22a4a2i !l;a,g .
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b. 1# 2,i/
<. Sia 2,5i+;i+a, ;,/;+ 2,,/;+a, !ro5;r 2,,/;+a, !r*a,5i,ga, ,ilai /rigo,o2/ri !a5a gi/iga i+;6i+; " m#'++& ';orm&' 8. G;r; 2,;ga+a, ia ;,/;+ 2,ilai 4ail 5i+;i /2a,,ya =. Sia 2,ilai 4ail 2la+;+a, !,ilaia, /r4a5a! 4ail 5i+;i /2a,,ya 10. Sia 2,ilai 4ail 2la+;+a, !,ilaia, /r4a5a! 4ail 5i+;i /2a,,ya " m#'&&r' 11. G;r; 2,;ga+a, ia ;,/;+ 2,ya:i+a, ,ilai !l;a,g 12. Sia 2,ya:i+a, !r,/ai /,/a,g !l;a,g "m#'+om*'&&'' 13. Sia lai, 22*ri+a, /a,gga!a, /r4a5a! !r,/ai. "m#'+om*'&&'' 14. Sia 2,ri2a /a,gga!a, 5ari ia lai, 5a, g;r;. " m#'+om*'&&''
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3.
K/ra2!ila, a. Tra2!il 2,ra!+a, +o,!8!ri,i! 5a, /ra/gi !2a4a, 2aala4 5ala2 2,gg;,a+a, 2/o5 !,ylaia, ya,g rla,.
P,ga2a/a,
P,ylaia, /;ga "*ai+ i,5ii5; 2a;!;, +lo2!o+' 5a, aa/ 5i+;i
I,/r;2, !,ilaia, "P,g/a4;a, 5a, K/ra2!ila,' Pra,g+a/ oal /rla2!ir L2*ar P,ga2a/a, /rla2!ir
P2*la:ara, R25ial 5a, P,gayaa, P2*la:ara, r25ial 5ila+;+a, gra /la4 +gia/a, !,ilaia, *agi !r/a 5i5i+ ya,g 22!rol4 ,ilai 5i *aa4 KKM> 5a,g+a, !r/a 5i5i+ ya,g /la4 22!rol4 ,ilai a2a 5,ga, a/a; l*i4 *ar 5ari KKM 2la+;+a, !,gayaa, 5,ga, 2,gr:a+a, oal6oal ya,g l*i4 +o2!l+.
Lampiran 1 T# ,#r,* (K!.3) 1. S*;a4 5a5; 2a/a ,a2 5il2!ar a/; +ali. Bra!a !l;a,g 2;,;l,ya 2a/a 5a5; ga,:il F J&&%: S 1> $> 3> (> &> 3> &C ,"A' 3 Ja5i> P"A'
( ) n( S )
n A
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3
1
6
2
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J&&%: Ba,ya+,ya +ar/; *ri5g a5ala4 &$> *rar/i ,"S' &$ ,"A' ( Ja5i> P"A'
( ) n( S )
n As
3.
4
1
52
13
Bra!a+a4 ?r+;,i 4ara!a, 2;,;l 2a/a +;ra,g 5ari & 5ala2 !la,/;,a, 5a5; 2a/a ,a2 *a,ya+ 3< +ali F
J&&%: S 1> $> 3> (> &> $> 3> (C ,"A' ( P"A'
( ) n( S )
n A
4
2
6
3
Ja5i> 4"A' P"A' = , 3< 2 3
$( +ali. (.
D;a 5a5; 2a/a ,a2 5il2!ar *ra2a6a2a. Bra!a !l;a,g 2;,;l 5;a 2a/a 5a5; ya,g :;2la4,ya 3 a/a; 1# F
J&&%: $ 5a5; 5il2!ar ,"S' 3< A :;2la4 2a/a 5a5; 3 "1>$'>"$>1'C ,"A' $ B :;2la4 2a/a 5a5; 1# "(><'>"&>&'>"<>('C ,"B' 3 A B P "A B' P"A' P"B' 2 36
3 +
36
5 =
36
P#'or&' J&&%&' &' P#'+o&&' N& 1. Nilai 1# 0 :i+a ;ai +;,i :aa*a, 5a, a5a !,g2*a,ga, :aa*a, $. Nilai 9 0 :i+a :aa*a, ;ai +;,i :aa*a, 3. Nilai % 0 :i+a :aa*a, +;ra,g ;ai 5,ga, +;,i :aa*a, (. Nilai ) 0 :i+a :aa*a, *l;2 ;ai 5,ga, +;,i :aa*a, Co',o P#'+o&&' N& IPK
No Soal
S+or P,ilaia, 1
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Nilai !rol4a, KD !g/a4;a, 0 rra/a 5ari ,ilai IPK "S+or *,ar8(#' 1## 1##
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P#r,&'9&&': 1. T,/;+a, r;a,g a2!l 5ari !l2!ara, 5;a *;a4 5a5; P#'9##&&':
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P#'9##&': , +ali S "A>A' "A>G' "G>A' "G>G'C , "S' ( A +:a5ia, 2;,;l a/; a,g+a 5a, a/; ga2*ar "A>G' "G>A'C 6 , "A' $
3. Dala2 *;a4 +a,/o,g /r5a!a/ !;l;4 +lr,g ya,g /r5iri 5ari < +lr,g 2ra4 5a, ( +lr,g !;/i4> 5ia2*il 5;a +lr,g. Bra!a !l;a,g /ra2*il,ya +5;a65;a,ya +lr,g !;/i4 F
J&&%: Ji+a A +:a5ia, /ra2*il,ya +lr,g !;/i4 !a5a !,ga2*ila, !r/a2a 2a+a P"A'
4
.
10
Ji+a B +:a5ia, /ra2*il,ya +lr,g !;/i4 !a5a !,ga2*ila, +5;a 2a+a P"B'
. 3 9
Ja5i> P"A B' P"A' = P"B' =
4
3
12
10
9
90
=
2 15
Co',o: Dari /;2!;+ +ar/; *ri5g> 5ia2*il a/; +ar/; ara *r/;r;/6/;r;/ *a,ya+ 5;a +ali. T,/;+a, !l;a,g *a4a ya,g /ra2*il !r/a2a A 5a, ya,g /ra2*il *ri+;/,ya Ki,g J&&%: ,"S' &$ ,"A' ( P"A'
( ) n( S )
n As
4 52
,"K' ( P"K'
( ) n( S )
4
n K
51
Ja5i> P"A K' P"A' = P"K' = 4
52
4
16
51
4
2652
=
663
(. Mial+a, /r5a!a/ /;2!;+ +ar/; *ri5g *a,ya+ &$ *;a4. Sora,g 2,ga2*il 5;a +ar/; ara aa+ 5ari /;2!;++a, i/;. Bra!a !l;a,g /ra2*il,ya +ar/; i/; +5;a65;a,ya a5ala4 A :i+a +ar/; !r/a2a /la4 5ia2*il 0 a. 5i+2*ali+a, *. /i5a+ 5i+2*ali+a, J&&%: a. A +:a5ia, /ra2*il,ya a/; +ar/; A !a5a !,ga2*ila, !r/a2a A> A> A> AC ,"A' ( P"A' 4
52
BA +:a5ia, /ra2*il,ya a/; +ar/; A !a5a !,ga2*ila, +5;a /la4 !,ga2*ila, !r/a2a +ar/;,ya 5i+2*ali+a,. ,"BA' ( P"BA' 4
52
Ja5i> P"A B' P"A'. P"BA' .
4
4
52
52
16 2704
=
1 169
*. A +:a5ia, /ra2*il,ya a/; +ar/; A !a5a !,ga2*ila, !r/a2a ,"A' ( P"A' 4
52
BA +:a5ia, /ra2*il,ya a/; +ar/; A !a5a !,ga2*ila, +5;a /la4 !,ga2*ila, !r/a2a +ar/;,ya /i5a+ 5i+2*ali+a,. ,"BA' 3 P"BA' 3 51
:a5i> P"A B' P"A'. P"BA'
4 52
.
3 51
12 2652
1 =
221