Events A and B are independent but not mutually exclusive. The probability that event A occurs is 0.5, and the probability that at least one of events A or B occurs is 0.8. What is the probability that event B occurs?
Λύση (0.6):
Χρησιμοποιούμε τη γενική φόρμουλα πιθανοτήτων : P(A) = P(A) + P(B) – P(A∩B) [katex]\Rightarrow[/katex] 0.8= 0.5 +P(B) – (0.5)P(B) [katex]\Rightarrow[/katex] P(B) = 0.6