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4 November, 07:07

An internet research company surveyed online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Type of purchase Number of shoppers Electronics Pet supplies Toys Office supplies Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that none of the three shoppers purchased electronics? Do not round your intermediate computations. Round your final answer to three decimal places.

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  1. 4 November, 07:22
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    The probability that none of the three shoppers purchased electronics is 0.528

    Step-by-step explanation:

    Completing missing parts of the question

    Electronics - 18

    Pet supplies - 25

    Toys - 40

    Office supplies - 12

    Total = 95

    The probability that none of the three shoppers purchased electronics is calculated as follows.

    Electronics Shoppers = 18

    Non electronic shoppers = 95 - 18 = 77

    Probability without replacement;

    Probability that the first shopper didn't buy electronics = 77/95

    Probability that the second shopper didn't buy electronics = 76/94

    Probability that the third shopper didn't buy electronics = 75/93

    Multiplying these values gives us our result.

    Probability = 77/95 * 76/94 * 75/93

    Probability = 0.528483184625943

    Probability = 0.528 - - - approximated

    Hence, the probability that none of the three shoppers purchased electronics is 0.528
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