sebuah koin dilemparkan 5 kali. nilai 3. peluang kemunculan gambar sebanyak 3 kali adalah .... a. 0,1125 d. 0,4575 b. 0,2275 e. 0,625 c. 0,3125

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Kevin L

Gold

05 Januari 2024 07:31

Dari pertanyaan tersebut, topik yang dibahas adalah tentang peluang dalam sebuah percobaan lempar koin. Dalam percobaan ini, koin dilemparkan 5 kali dan peluang kemunculan gambar sebanyak 3 kali akan dihitung. Penjelasan: 1. Untuk menghitung peluang tersebut, kita perlu menggunakan rumus kombinasi. 2. Rumus kombinasi adalah nCr = n! / (r!(n-r)!), di mana n adalah jumlah percobaan (5 kali lempar koin) dan r adalah jumlah kejadian yang diinginkan (3 kali gambar). 3. Dalam kasus ini, n = 5 dan r = 3, sehingga nCr = 5! / (3!(5-3)!) = 10. 4. Selanjutnya, peluang kemunculan gambar sebanyak 3 kali adalah nCr dikalikan dengan peluang kemunculan gambar (1/2) pangkat r dikalikan dengan peluang kemunculan angka (1/2) pangkat (n-r). Peluang = 10 * (1/2)³ * (1/2)² = 10 * 1/8 * 1/4 = 10/32 = 0,3125. Kesimpulan: Jadi, peluang kemunculan gambar sebanyak 3 kali dari 5 kali lemparan koin adalah 0,3125. Semoga penjelasan ini membantu kamu 🙂.

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Dewi A

10 Januari 2025 12:25

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