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Independent events in probability are events where the occurrence of one does not affect the occurrence of the other. Mathematically two events A and B are independent if P(A ∩ B) = P(A) × P(B). These events are important in probability theory and are used in real-life decision-making processes.
Class 12 Maths Probability is covered in Chapter 13 for the CBSE Exam 2024-25. It includes key concepts like random experiments sample space independent and dependent events mutually exclusive and non-mutually exclusive events Bayes’ theorem and conditional probability. Mastering these topics helps in solving real-life problems and is essential for competitive exams and higher studies.
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For independent events A and B the conditional probability follows: P(A | B) = P(A ∩ B) / P(B). Since the events A and B are independent, we recall that: P(A ∩ B) = P(A) × P(B). Thus P(A | B) = P(A) (P(B))/(P(B)), canceling (P(B), we have ) P(A)
So the correct answer is P(A)
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