Is Event B dependent or independent of Event A? A: A green ball is drawn from a box with five balls and placed next to the box. B: A red b

Question

Is Event B dependent or independent of Event A? A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one.Please provide detail.

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Aaliyah 3 days 2021-10-10T02:27:02+00:00 1 Answer 0

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    2021-10-10T02:28:13+00:00

    Answer:

    Step-by-step explanation:

    Given that events are as follows:

    A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one

    i.e. drawings of balls are made without replacement

    Suppose there are m green balls and n red balls, where m+n =5

    Prob of drawing green ball =m/5

    After I draw made remaining are n red balls and m-1 green balls

    Prob of drawing red ball now =n/4

    Prob for drawing one green and one red simultaneously = \frac{mC1*nC1}{5C2} \\= \frac{mn}{10}

    Product of the two probabilities = \frac{m}{5} *\frac{n}{4} \\=\frac{mn}{20}

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