Matematika

Pertanyaan

Pada pelemparan 2 buah dadu secara bersama-sama, Tini memilih jumlah mata 3 & Nella memilih jumlah mata 4. Berapa nilai kemungkinan pilihan Tini atau Nella muncul?

1 Jawaban

  • ............1...........2........3........4.........5...........6
    1........(1,1)......(1,2)....(1,3)...(1,4).....(1,5).....(1,6)
    2.......(2,1).....(2,2)...(2,3)..(2,4)....(2,5)....(2,6)
    3.......(3,1).....(3,2)...(3,3)...(3,4)...(3,5).....(3,6)
    4.......(4,1).....(4,2)...(4,3)...(4,4)...(4,5).....(4,6)
    5.......(5,1).....(5,2)...(5,3)...(5,4)...(5,5)....(5,6)
    6.......(6,1).....(6,2)...(6,3)....(6,4)..(6,5)....(6,6)
    n(S) = 36

    Tini = {(1,2),(2,1)}
    n(Tini) = 2
    P(Tini) = n(Tini)/n(S)
    P(Tini) = 2/36

    Nella = {(1,3),(2,2),(3,1)}
    n(Nella) = 3
    P(Nella) = n(Nella)/n(S)
    P(Nella) = 3/36

    P (Tini atau Nella) = P(Tini) + P(Nella)
    P (Tini atau Nella) = 2/36 + 3/36
    P (Tini atau Nella) = 5/36

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