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3.2: Matukio ya kujitegemea na ya kipekee

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    179695

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    Huru na ya kipekee haimaanishi kitu kimoja.

    Matukio ya kujitegemea

    Matukio mawili yanajitegemea ikiwa mojawapo ya yafuatayo ni ya kweli:

    • Matukio mawili A na B ni huru kama ujuzi kwamba moja ilitokea hauathiri nafasi nyingine hutokea. Kwa mfano, matokeo ya majukumu mawili ya kufa kwa haki ni matukio ya kujitegemea. Matokeo ya roll ya kwanza haina mabadiliko ya uwezekano wa matokeo ya roll ya pili. Kuonyesha matukio mawili ni huru, lazima uonyeshe moja tu ya masharti hapo juu. Ikiwa matukio mawili hayategemea, basi tunasema kuwa wanategemea.

      Sampuli inaweza kufanyika kwa uingizwaji au bila uingizwaji.

      • Kama haijulikani kama A na B ni huru au tegemezi, kudhani wao ni tegemezi mpaka unaweza kuonyesha vinginevyo.
        1. kukokotoa\(P(T)\).
        2. kukokotoa\(P(T|F)\).
        3. Je\(T\), na\(F\) kujitegemea?.
        4. Je,\(F\) na\(S\) pande ya kipekee?
        5. Je\(F\), ni\(S\) huru?