Matematika

Pertanyaan

Dua dadu ditos bersama 180 kali. Frekuensi harapan muncul mata dadu berjumlah 8 adalah

2 Jawaban

  • Kelas 9 Matematika
    Bab Peluang

    Muncul mata dadu berjumlah 8 = { (2,6), (6,2), (3,5), (5,3), (4,4) }
    n = 5

    Jumlah titik sampel 2 dadu
    = 6²
    = 35

    Frekuensi harapan
    = 5/36 . 180
    = 25 kali
  • n = 180

    A = {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}

    n(A) = 5

    S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

    n(S) = 36

    Fh(A) = n × P(A)
    = n × n(A)/n(S)
    = 180 × 5/36
    = 25

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