The city council of a suburb of Columbus is interested in the level of public support for a new recreation center. A marketing research firm is selected which then selects a simple random sample of 50 adult residents and contacts each to determine whether the resident would be interested in joining this recreation center if it were built. Of these, 35 indicated they would be interested in joining the recreation center. The chance that all 50 residents in a neighborhood end up being the sample of residents selected is
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