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[tex]$A$[/tex] and [tex]$B$[/tex] are independent events.
In probability theory, when two events [tex]\(A\)[/tex] and [tex]\(B\)[/tex] are independent, the occurrence of one event does not affect the probability of the occurrence of the other event. This independence can be expressed mathematically:
[tex]\[ P(A \mid B) = P(A) \][/tex]
This formula states that the probability of [tex]\(A\)[/tex] given that [tex]\(B\)[/tex] has occurred, denoted [tex]\(P(A \mid B)\)[/tex], is equal to the probability of [tex]\(A\)[/tex] because the occurrence of [tex]\(B\)[/tex] does not impact [tex]\(A\)[/tex].
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