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20 January, 14:32

About 1414 % of the population of a large country is nervous around strangersnervous around strangers. If two people are randomly selected, what is the probability both are nervous around strangersnervous around strangers ? What is the probability at least one is nervous around strangersnervous around strangers ?

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  1. 20 January, 15:22
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    One person being nervous around strangers is assumed independent of other people behaviour. Then, the multiplication rule can be applied as

    both nervous = 0.14*0.14 = 0.0196 = 1.96%

    one is nervous, one is not nervous = 0.14 * (1-0.14) = 0.1204 = 12.04%

    At least one nervous = 1.96% + 12.04% = 14%
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