Question

when randomly selecting an adult, a denotes the event of selecting someone with blue eyes. what do p(a) and p(\\(overline{a}\\)) represent?
p(a) represents the
p(\\(overline{a}\\)) represents the
event of selecting an adult with blue eyes.
probability of selecting an adult with blue eyes.
event of selecting an adult who does not have blue eyes.
probability of selecting an adult who does not have blue eyes.

Explanation:

In probability, \(P(A)\) is the standard notation for the probability of event \(A\) occurring. Here, event \(A\) is selecting an adult with blue eyes. The complement of event \(A\), denoted as \(\overline{A}\), represents the non - occurrence of event \(A\). So, \(P(\overline{A})\) is the probability of the complement event (selecting an adult who does not have blue eyes).

Answer:

\(P(A)\) represents the probability of selecting an adult with blue eyes. \(P(\overline{A})\) represents the probability of selecting an adult who does not have blue eyes.