buah dadu dilempar , kali, peluang muncul jumlah mata dadu , sebanyak , kali adalah …

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Baca Juga :  There once was a fisherman who lived with his wife in a small hut close by the seaside. The fisherman used to go fishing every day. One day, as he sat in his boat with his rod,looking at the sparkling waves and watching his line, all of a sudden his float was dragged away deep into the water. He quickly started to reel in his line and managed to pull out a huge fish. , Much to his surprise, the fish started to talk and said, , The astonished fisherman quickly threw him back, exclaiming,, When the fisherman went home to his wife, he told her everything that had happened and how, on hearing it speak, he had let it go again. "Didn\t you ask it for anything?" said the wife. "No, I didn\t, what should I have asked for?" replied the fisherman., , , said his wife., " The fisherman wasnt sure about this but he still went to the seashore, sat in his boat, went to the middle of the sea and said:", , The fish immediately came swimming to him, and said, , said the fisherman, , said the fish, , So the fisherman went home, and saw his wife standing at the door of a nice trim little cottage. , "Everything went fine for a while, and then one day the fishermans wife said, ", said the fisherman, , said the wife; , With a heavy heart the fisherman went to the middle of the sea and said:, , said the fish. , said the fisherman, , said the fish; , So he went home and he saw his wife sitting on a very lofty throne made of solid gold, with a great crown on her head full two yards high. And on each side of her stood her guards and attendants in a row. The fisherman went up to her and said, , said she, , said the man, as he gazed upon her, , said she, , They were happy for a while., Then a time came when she was not able to sleep all night for she was thinking what she should ask next. At last, as she was about to fall asleep, morning broke, and the sun rose. , At this thought she was very angry, and wakened her husband, and said, , The fisherman was half asleep, but the thought frightened him so much that he fell out of the bed. , said he, , said she, , "said the fisherman but his wife wouldnt listen to him. ", she said., Then the man went shivering with fear. As he was going down to the shore a dreadful storm arose. The trees and the very rocks shook and the sky became black with stormy clouds. There were great black waves, swelling up like mountains with crowns of white foam upon their heads. Unfortunately, the fisherman did not have any choice, so he got onto his boat and rowed to the middle of the sea and cried out as loud as he could:, , said the fish. , said the fish, , And it is said that they live there to this very day., (Adopted from Grimm Brothers, 1812. , )

PERTANYAAN :


begin mathsize 14px style 2 end style buah dadu dilempar begin mathsize 14px style 4 end style kali, peluang muncul jumlah mata dadu begin mathsize 14px style 4 end style sebanyak begin mathsize 14px style 2 end style kali adalah …

Jawaban

 peluang muncul jumlah mata dadu begin mathsize 14px style 4 end style sebanyak begin mathsize 14px style 2 end style kali adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 121 over denominator 3.456 end fraction end cell end table end style.


Pembahasan

Diketahui:

begin mathsize 14px style 2 end style buah dadu dilempar begin mathsize 14px style 4 end style kali.

Tentukan terlebih dahulu banyak ruang sampe begin mathsize 14px style 2 end style buah dadu, yaitu:

begin mathsize 14px style straight n open parentheses straight S close parentheses equals 6 squared equals 36 end style

Muncul jumlah mata dadu begin mathsize 14px style 4 end style, yaitu begin mathsize 14px style open curly brackets open parentheses 1 comma space 3 close parentheses comma space open parentheses 2 comma space 2 close parentheses comma space open parentheses 3 comma space 1 close parentheses close curly brackets end style.

Diperoleh:

begin mathsize 14px style straight n open parentheses 4 close parentheses equals 3 end style

Peluang muncul mata dadu begin mathsize 14px style 4 end style, yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight P open parentheses 4 close parentheses end cell equals cell fraction numerator straight n open parentheses 4 close parentheses over denominator straight n open parentheses straight S close parentheses end fraction end cell row blank equals cell 3 over 36 end cell end table end style

Peluang muncul mata dari selain begin mathsize 14px style 4 end style, yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight P open parentheses selain space 4 close parentheses end cell equals cell fraction numerator straight n open parentheses straight S close parentheses minus straight n open parentheses 4 close parentheses over denominator straight n open parentheses straight S close parentheses end fraction end cell row blank equals cell fraction numerator 36 minus 3 over denominator 36 end fraction end cell row blank equals cell 33 over 36 end cell end table end style

Gunakan rumus Binomial Newton untuk mengetahui peluang muncul jumlah mata dadu begin mathsize 14px style 4 end style sebanyak begin mathsize 14px style 2 end style kali seperti berikut:

Baca Juga :  Tujuan penulisan teks prosedur harus ditetapkan sebelum langkah kerja., Langkah kerja bisa dilakukan jika tujuan penulisan telah ditetapkan.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight P open parentheses 4 comma space 2 space kali close parentheses end cell equals cell straight C presubscript straight n presuperscript straight r times straight P open parentheses 4 close parentheses to the power of straight n minus straight r end exponent times straight P open parentheses selain space 4 close parentheses to the power of straight r end cell row blank equals cell straight C presubscript 4 presuperscript 2 times open parentheses 3 over 36 close parentheses to the power of 4 minus 2 end exponent times open parentheses 33 over 36 close parentheses squared end cell row blank equals cell fraction numerator 4 factorial over denominator open parentheses 4 minus 2 close parentheses factorial times 2 factorial end fraction times open parentheses 3 over 36 close parentheses squared times open parentheses 33 over 36 close parentheses squared end cell row blank equals cell fraction numerator 4 factorial over denominator 2 factorial times 2 factorial end fraction times open parentheses 3 over 36 close parentheses squared times open parentheses 33 over 36 close parentheses squared end cell row blank equals cell fraction numerator 4 cross times 3 cross times down diagonal strike 2 factorial end strike over denominator 2 factorial times down diagonal strike 2 factorial end strike end fraction times open parentheses 3 over 36 close parentheses squared times open parentheses 33 over 36 close parentheses squared end cell row blank equals cell 12 over 2 times open parentheses 3 over 36 close parentheses squared times open parentheses 33 over 36 close parentheses squared end cell row blank equals cell 6 times open parentheses 3 over 36 close parentheses squared times open parentheses 33 over 36 close parentheses squared end cell row blank equals cell 6 times fraction numerator 9 over denominator 1.296 end fraction times fraction numerator 1.089 over denominator 1.296 end fraction end cell row blank equals cell fraction numerator 121 over denominator 3.456 end fraction end cell end table end style

Jadi, peluang muncul jumlah mata dadu begin mathsize 14px style 4 end style sebanyak begin mathsize 14px style 2 end style kali adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 121 over denominator 3.456 end fraction end cell end table end style.


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Baca Juga :  Senyawa berikut ini memiliki rumus empiris dan rumus molekul sama., , yang benar adalah ....,

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