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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Mathematics

Mocha

Today, 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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Sumo · Answer 1

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