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Tes remedi diikuti 6 siswa. Peluang setiap siswa l...

Tes remedi diikuti 6 siswa. Peluang setiap siswa lulus remedi sama besar yaitu begin mathsize 14px style 2 over 3 end style. Peluang terjadinya paling tidak dua siswa lulus remidi adalah...

  1. begin mathsize 14px style 716 over 729 end style 

  2. begin mathsize 14px style 416 over 729 end style 

  3. begin mathsize 14px style 15 over 729 end style 

  4. begin mathsize 14px style 13 over 729 end style 

  5. begin mathsize 14px style 12 over 729 end style 

Jawaban:

Peluang 1 siswa lulus

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P left parenthesis 1 right parenthesis end cell equals cell large C subscript 1 superscript 6 cross times open parentheses 2 over 3 close parentheses to the power of 1 cross times open parentheses 1 third close parentheses to the power of 5 end cell row blank equals cell fraction numerator 6 factorial over denominator 5 factorial space 1 factorial end fraction cross times 2 over 3 cross times 1 over 243 end cell row blank equals cell 6 cross times 2 over 3 cross times 1 over 243 end cell row blank equals cell 4 over 243 end cell end table end style 

Peluang 0 siswa lulus

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell P left parenthesis 0 right parenthesis end cell equals cell large C subscript 0 superscript 6 cross times open parentheses 2 over 3 close parentheses to the power of 0 cross times open parentheses 1 third close parentheses to the power of 6 end cell row blank equals cell 1 cross times 1 cross times 1 over 729 end cell row blank equals cell 1 over 729 end cell end table end style  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Peluang space terjadinya space paling space tidak space dua space siswa space lulus end cell equals cell 1 minus 4 over 243 minus 1 over 243 end cell row blank equals cell fraction numerator 729 minus 12 minus 1 over denominator 729 end fraction end cell row blank equals cell 716 over 729 end cell end table end style  

Jadi jawabannya adalah A

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