Dental cavities develop slowly over time. Before they reach cavity status they are classified as a 'minor cary'.
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Dental cavities develop slowly over time. Before they reach cavity status they are classified as a "minor cary". A

study found that the probability of a randomly chosen five-year-old having a cavity is 0.24, the probability of a randomly selected five-year-old having a minor cary is 0.21, and the probability of having a cavity given that the child has a minor cary is 0.54.

a) Are the events of "having a cavity" and "having a minor cary" independent of one another?

b) Find the probability that a randomly selected five-year-old has both a cavity and a minor cary.

c) Find the probability that a randomly selected five-year-old does not have a cavity.

d) Find the probability that a randomly selected five-year-old has a minor cary given they have a cavity.


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