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Dalam sebuah keranjang terdapat 6 buah apel bagus ...

Dalam sebuah keranjang terdapat 6 buah apel bagus dan 4 buah apel busuk. Akan diambil 3 apel sekaligus. Tentukan peluang terambilnya 2 apel bagus dan 1 apel busuk!

Jawaban:

Banyaknya ruang sampel pengambilan 3 apel dari 10 apel

table attributes columnalign right center left columnspacing 0px end attributes row cell n open parentheses S close parentheses end cell equals cell C presubscript 10 subscript 3 end cell row cell space space space space space space space space end cell equals cell fraction numerator 10 factorial over denominator open parentheses 10 minus 3 close parentheses factorial 3 factorial end fraction end cell row cell space space space space space space space space space end cell equals cell fraction numerator 10 factorial over denominator 7 factorial 3 factorial end fraction end cell row cell space space space space space space space space space end cell equals 120 end table 

banyaknya kejadian terambilnya 2 apel bagus dan 1 apel busuk

table attributes columnalign right center left columnspacing 0px end attributes row cell n open parentheses A close parentheses end cell equals cell space size 14px C presubscript size 14px 6 subscript size 14px 2 size 14px cross times size 14px C presubscript size 14px 4 subscript size 14px 1 end cell row cell size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space end cell size 14px equals cell fraction numerator size 14px 6 size 14px factorial over denominator begin mathsize 14px style left parenthesis 6 minus 2 right parenthesis factorial 2 factorial end style end fraction size 14px cross times fraction numerator size 14px 4 size 14px factorial over denominator begin mathsize 14px style left parenthesis 4 minus 1 right parenthesis factorial 1 factorial end style end fraction end cell row cell size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space end cell size 14px equals cell fraction numerator size 14px 6 size 14px factorial over denominator size 14px 4 size 14px factorial size 14px 2 size 14px factorial end fraction size 14px cross times fraction numerator size 14px 4 size 14px factorial over denominator size 14px 3 size 14px factorial size 14px 1 size 14px factorial end fraction end cell row cell size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space end cell size 14px equals cell size 14px 15 size 14px cross times size 14px 4 end cell row cell size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space end cell size 14px equals size 14px 60 end table   

Peluang terambilnya 2 apel bagus dan 1 apel busuk adalah 

 

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