(Answered)-A new campground has 18 sites of which 12 are lakefront and 6 are - (2025 Updated Original AI-Free Solution

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Question

A new campground has 18 sites of which 12 are lakefront and 6 are not. Due to the high demand for
sites, the campground owner has decided to assign sites based on a lottery. 33 people entered the
lottery. First the campground owner will randomly select 18 people to receive sites. Then the
campground owner will randomly assign one of the 18 selected people to each of the sites.

a) What is the probability that a person who enters the lottery will receive a site?

b) What is the probability that a person who enters the lottery will receive a lakefront site?

c) Given that a person receives a site, what is the probability that the site will be lakefront