If for any two events A and B, P(A) = 4/5 and P(A ∩ B) = 7/10, then P(B/A) is equal to
P(A) = 4/5 and P(A ∩ B) = 7/10, this means the probability of event A occurring is 4/5, and the probability of both events A and B occurring together is 7/10. To find P(B), use the formula P(A ∩ B) = P(A) × P(B|A).
Class 12 Maths Probability is explained in Chapter 13 for the CBSE Exam 2024-25. It covers topics such as random experiments sample space independent and dependent events mutually exclusive and non-mutually exclusive events conditional probability and Bayes’ theorem. Mastering these concepts is essential for solving real-life problems and excelling in competitive exams and higher studies.
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Given:
P(A) = 4/5
P(A ∩ B) = 7/10
Using the conditional probability formula:
P(B|A) = P(A ∩ B) / P(A)
Substituting the values:
P(B|A) = (7/10) ÷ (4/5)
= (7/10) × (5/4) = 35/40 = 7/8
So the correct answer is 7/8
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