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Math Help - Tough one

  1. #1
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    Tough one

    Candice own a chocolate shop. One of her most popular products is a box of 40 assorted chocolates, 5 of which contain nuts.

    If a person selects two chocolates at random from the box, what is the probability that

    i) both of the chocolate contains nuts
    ii) at least one of the chocolates contains nuts
    iii) only one of the chocolates contains nuts
    iv) neither of the chocolates contains nuts?

    Any help is MUCH MUCH MUCH appreciated
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  2. #2
    Eater of Worlds
    galactus's Avatar
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    Chaneysville, PA
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    1
    i.
    I assume we're not replacing, like many do. Take a bite to see what it is and then put it back.

    What's the prob. of getting a nut the first time?. 5/40

    The second time?. 4/39

    (5/40)(4/39)=1/78.

    The other parts are similar. Give them a go.

    For part ii, find the prob. of none and subtract from 1.
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