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15 November, 08:02

A survey is being conducted in a city of 1000, 000 residents. For that purpose, a random sample of size 1000 is chosen. The survey is conducted by choosing people one at a time, with replacement and with equal probabilities. Estimate the probability that at least one person is chosen more than once.

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  1. 15 November, 08:31
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    Probability that at least one person is chosen more than once is 999/1000

    Step-by-step explanation:

    Probability is given by number of possible outcomes : number of total outcomes

    Probability that at least one person is chosen once is 1/1000

    Probability that at least one person is chosen more than once is 1 - 1/1000 = 999/1000
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