P(A ∩ B) represents the probability of both events A and B occurring simultaneously. If A and B are independent, then P(A ∩ B) = P(A) × P(B). For dependent events, the probability of their intersection can be calculated using conditional probability P(A ∩ B) = P(A) × P(B|A).
Class 12 Maths Probability is covered in Chapter 13 for the CBSE Exam 2024-25. It includes important concepts like random experiments sample space independent and dependent events mutually exclusive and non-mutually exclusive events Bayes’ theorem and conditional probability. Mastery of these topics helps solve real-life problems and is crucial for competitive exams and higher studies.
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For independent events A and B, the probability of both occurring is given by:
P(A ∩ B) = P(A) × P(B)
This is the fundamental property of independent events in probability.
So the correct answer is P(A). P(B)
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