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Dental Health and Probability

APSTAT-XEANSY

According to a 2013 report by the Centers for Disease Control and Prevention, $83\%$ of children between the ages of $2$ and $17$ had a dental visit in the previous year. Assume this percentage has not changed.

What is the probability that in a random sample of $4$ children between the ages of $2$ and $17$, all of them would have had a dental visit in the previous year?

A

$0.2075$

B

$0.4746$

C

$0.5254$

D

$0.7925$

E

$0.83$