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shanti34
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Asked: 2025-02-03T04:43:42+00:00 In:

If the events A and B are independent, then P(A ∩ B) is equal to

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Poll Results

0%P(A) + P(B)
0%P(A) - P(B)
100%P(A).P(B) ( 2 voters )
0%P(A)/P(B)
Based On 2 Votes

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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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    1 Answer

    1. 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)

      Click here for more:
      https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-13

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