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HA A??Object 4"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!drs/downrev.xmlDOn0WAVr@ (yO6 ԢUL  kˤAcw>Rw!TPz$R$nl5l [pS8`šĆ%eM><kgVѰ_}i8ÛdPK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!drs/downrev.xmlPK P ` 8 A$D Z  HA B??Object 5"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!+$drs/downrev.xmlDOk@^n̡jtiZ( g;դ~nq0ykJq 37<2)!Yi v *Ƚ)]A׷q6胬3klܔ2WiఐcEo9(h&:Cy^}z OZ8&<9PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!+$drs/downrev.xmlPK P 08 B$D Z iddH-̙ld___PPT10D.]0G+e}D' = @B D' = @BA?%,( < +O%,( < +D' = @B%(D' = @B%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(down)*<3<*D' = @B%(D' = @B%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(down)*<3<*+"  (     p\b0e0e0e?Title 1@`}  Z bPendekatan Frekuensi Relatif  !    Yb0e0e?,Content Placeholder 2@` Z tMenurut pendekatan ini, probabilitas diartikan sebagai : Proporsi waktu terjadinya suatu peristiwa dalam jangka panjang, jika kondisi stabil. Frekuensi relatif dari seluruh peristiwa dalam sejumlah besar percobaan. Dirumuskan dengan : keterangan : P(X=x) = probabilitas terjadinya peristiwa x f = frekuensi relatif X n = banyaknya peristiwa yang bersangkutan b9 P P P P9u !~  BA C?Object 4@  C iddH-̙y___PPT10Y+D=' = @B +"  ͊Ŋ(      p`=b0e0e0e?Title 1@`}  Z Q Contoh Soal    !   =b0e0e?,Content Placeholder 2@` Z )Dari hasil ujian teori pengambilan keputusan, 65 mahasiswa sebuah universitas, diperoleh data sebagai berikut. X = nilai teori pengambilan keputusan Berapa probabilitas salah seorang yang nilainya 6,5? 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( s  Db0e0e1?&Text Placeholder 2@p p Z +Peristiwa saling lepas (Mutually Exclusive)", ,G, !e ( s Eb0e0e1?&Text Placeholder 30 `p Z m Contoh Soal"   G  ! (  Fb0e0e?,Content Placeholder 4@p  Z ZDua buah peristiwa atau lebih disebut peristiwa saling lepas apabila kedua atau lebih peristiwa itu tidak dapat terjadi pada saat yang bersamaan. Untuk dua peristiwa A dan B saling lepas, maka probabilitas terjadinya peristiwa tersebut adalah sebagai berikut : P(A atau B)= P(AB) = P(A) + P(B) Untuk tiga peristiwa A, B dan C saling lepas, maka probabilitas terjadinya peristiwa tersebut adalah: P(ABC) = P(A) + P(B) + P(C) s # g  k ! (  Gb0e0e?,Content Placeholder 50 ` Z JSebuah dadu dilemparkan ke atas, di mana peristiwa-peristiwanya adalah sebagai berikut. A = peristiwa mata dadu 4 muncul B = peristiwa mata dadu kurang dari 3 muncul C = peristiwa mata dadu bilangan prima muncul tentukan probabilitas dari : a. mata dadu 4 atau kurang dari 3 muncul b. mata dadu 4 atau bilangan prima muncul (X  K*  ! !* !H ! iddH-̙y___PPT10Y+D=' = @B +"  |,d(  , , HA I??Object 20  I , HA J??Object 3, d  J , HA K??Object 4   K@ , J>b?TextBox 4 m D<4___PPT9 za.( " dC ! @`@ , JDb?TextBox 5 m y D<4___PPT9 zb.( " dC ! @` iddH-̙"^   0(  0 0  p@b0e0e0e?Title 1@`|  Z gPROBABILITAS BEBERAPA PERISTIWA  $  ! 0 s Fb0e0e1?&Text Placeholder 2@p p Z 6Peristiwa tidak saling lepas (Non-Mutually Exclusive) "7 7G7 !e 0 s Db0e0e1?&Text Placeholder 30 `p Z m Contoh Soal"   G  !8 0  >b0e0e?,Content Placeholder 4@p  Z ^~Dua atau lebih peristiwa disebut peristiwa tidak saling lepas apabila kedua atau lebih peristiwa dapat terjadi pada saat yang bersamaan. Untuk dua peristiwa A dan B tidak saling lepas, probabilitas terjadinya peristiwa tersebut adalah sebagai berikut. P(AB) = P(A) + P(B)  P(AB) Untuk tiga peristiwa A, B dan C tidak saling lepas, probabilitas terjadinya adalah sebagai berikut. P(ABC) = P(A)+P(B)+P(C)  P(AB)  P(AC)  P(BC) + P(ABC) s  d A t e= !: 0  @Eb0e0e?,Content Placeholder 50 ` Z `Dari catatan seorang penasehat akademik fakultas ekonomi universitas  X yang menangani 160 mahasiswa terdapat data : 60 mahasiswa senang matakuliah MSDM 50 mahasiswa senang matakuliah TPK 45 mahasiswa senang matakuliah EM 90 mahasiswa senang matakuliah MSDM dan TPK 95 mahasiswa senang matakuliah MSDM dan EM 85 mahasiswa senang matakuliah TPK dan EM Jika seorang mahasiswa dipilih secara acak, berapa probabilitas mahasiswa tersebut senang ketiga matakuliah itu?Bv  q v [ * ! !? !O iddH-̙"! 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Untuk dua peristiwa saling bebas, probabilitasnya adalah : P(AB) = P(A) . P(B) Untuk tiga peristiwa A, B dan C saling bebas, probabilitasnya adalah : P(ABC) = P(A) . P(B) . P(C)` ;  G  Z!  8  @b0e0e?,Content Placeholder 50 ` Z Sebuah mata uang logam dan sebuah dadu dilemparkan ke atas secara bersamaan. 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Untuk dua peristiwa A dan B, probabilitasnya adalah : P(AB) = P(A) . P(B/A) Untuk tiga peristiwa A, B dan C, probabilitasnya adalah : P(ABC) = P(A). P(B/A) . P(C/AB)` 6  : ! N !5 @  Bb0e0e?,Content Placeholder 50 ` Z [Dalam sebuah kotak terdapat sepuluh buah bola, tiga diantara bola tersebut rusak (ada keretakan dipermukaannya). Tiga buah bola diambil secara berurutan. Berapa probabilitas : Pengambilan pertama rusak Pengambilan kedua rusak Pengambilan ketiga bagus . 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