Matematika

Pertanyaan

sebuah kantong berisi 6 kelereng kuning dan 4 kelereng biru diambil 2 kelereng sekaligus,tentukan terambilnya
A.2 kelereng biru
B.2 kelereng kuning
C.1 kelereng biru 1 kelereng kuning

2 Jawaban

  • a. 2 kelereng biru
    smoga bnar
  • 6 kuning 4 biru = 10 kelereng
    Diambil 2 kelereng sekaligus :
    n(S) = 10C2 = 10!/(10 - 2)!2! = (10.9.8!)/(8!.2.1) = 45

    A) terambil 2 kereng biru
    n(A) = 4C2 = 4!/(4 - 2)!2! = (4.3.2!)/(2!2.1) = 6
    Peluang : P(A) = 6/45 = 2/15

    B) terambil 2 kelereng kuning
    n(B) = 6C2 = 6!/(6 - 2)!2! = (6.5.4!)/(4!2.1) = 15
    Peluang : P(B) = 15/45 = 1/3

    C) terambil 1 kelereng biru dan 1 kelereng kuning
    n(C) = 4C1 . 6C1 = 4 . 6 = 24
    Peluang : P(C) = 24/45 = 8/15

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