Qwiz__Contoh soal tentang peluang, dan cara penyelesaiannya ( minimal 2 )ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ.... Question from @jihanamalia1504

May 2022 1 4 Report

Qwiz
__
Contoh soal tentang peluang, dan cara penyelesaiannya ( minimal 2 )
ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ
(・Gunakan penjelasan
(・Jgn gunakan bhs alien (blblbljjj)
(・Jgn asal ;-;
__
dia gbt

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1. Sebuah kantong terdiri dari 4 kelereng merah, 3 kelereng biru, dan 5 kelereng kuning. Di kelereng - kelereng tersebut akan diambil hanya satu kelereng. Tentukan peluang yang akan terambilnya kelereng berwarna biru!

Jawaban :

Banyaknya titik sampel $\tt \: n(s)$ = 4 + 3 + 5 = 12

Titik sampel kelereng biru $\tt \:n(a)$ = 3 Kelereng

Maka P = $\tt \: \frac{n(a)}{n(s)} = \: \frac{3}{12} \: = \: \frac{3 \: \div \: 3}{12 \: \div \: 3} \: = \: \boxed{ \tt\frac{1}{4}}$

2. Dalam sebuah kotak terdapat 7 kelereng merah dan 3 kelerang biru. Peluang mengambil 3 kelereng merah sekaligus!

Jawaban :

$\tt \: 7C3 \: = \: \frac{7!}{3! \: (7 \: - \: 3)!} \: = \: \frac{7 \: \times \: 6 \: \times \: 5 \: \times \: 4 }{3 \: \times \: 2 \: \times \: 4!} \: = \: 35 \\ \\ \tt \: 10C3 \: = \: \frac{10 \: \times \: 9 \: \times \: 8 \: \times \: 7!}{3 \: \times \: 2 \: \times \: 7!} \: = \: \frac{720}{6} \: = \: 120 \\ \\ \tt \: p(k) \: = \: \frac{n(k)}{n(s)} \: = \: \frac{35}{120} \: = \: \frac{35 \: \div \: 5}{120 \: \div \: 5} \: = \: \boxed{ \tt \: \frac{7}{24 \: }}$

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