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    Alalynda's Avatar
    Alalynda Posts: 3, Reputation: 1
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    #1

    Jul 16, 2013, 10:03 AM
    Probability
    Shoppers charged incorrectly 2 out of 30 times - what is the probability that the shopper will not be charged incorrectly if they purchase 12 items-
    I am a math tutor and am having trouble with this problem - answer is .437
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Jul 16, 2013, 11:08 AM
    From the data the probability of being charged incorrecty for a purchase is 2/30 = 1/15. So the probability of not being charged incorrectly for a purchase is 1 - 1/15 = 14/15. Now, if the probability of something happening is p, to have that thing happen n times in a row is p^n. Here you have p=14/15 and n=12.

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