To determine the probability of either event [tex]\(A\)[/tex] or event [tex]\(B\)[/tex] occurring, denoted as [tex]\(P(A \text{ or } B)\)[/tex], you can use the formula for the union of two mutually exclusive events. Since events [tex]\(A\)[/tex] and [tex]\(B\)[/tex] are mutually exclusive, they cannot happen at the same time. The formula for mutually exclusive events is:
[tex]\[ P(A \text{ or } B) = P(A) + P(B) \][/tex]
Given that the probability of event [tex]\(A\)[/tex] is [tex]\(P(A) = 0.50\)[/tex] and the probability of event [tex]\(B\)[/tex] is [tex]\(P(B) = 0.30\)[/tex], you simply add these probabilities together:
[tex]\[ P(A \text{ or } B) = 0.50 + 0.30 = 0.80 \][/tex]
Therefore, the probability of either event [tex]\(A\)[/tex] or event [tex]\(B\)[/tex] occurring is:
[tex]\[ \boxed{0.80} \][/tex]
Hence, the correct answer is:
B. 0.80
