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26 October, 09:28

Out of 125 children at summer camp 45 signed up for swimming 38 for arts and crafts if a child is randomly selected what is the probability that they signed up for swimming if it is known they did not sign up for arts and crafts

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  1. 26 October, 09:45
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    P (s) = 45/125 = 0.360

    P (A&C) = 38/125 = 0.304

    Probability that one is not in Arts and Crafts = 1 - P (A&C) = 1-0.304 = 0.696

    Therefore,

    Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056
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