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Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events Video Lecture | Mathematics (Maths) for JEE Main & Advanced
FAQs on Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the Multiplication Rule in probability? |  |
Ans. The Multiplication Rule states that the probability of the intersection of two independent events A and B is equal to the product of their individual probabilities, P(A and B) = P(A) * P(B).
| 2. Can mutually exclusive events be independent? | |
Ans. No, mutually exclusive events cannot be independent. Mutually exclusive events have no outcomes in common, which means the occurrence of one event precludes the occurrence of the other. In contrast, independent events are events whose occurrence or non-occurrence does not affect each other.
| 3. How is the Addition Rule used in probability? | |
Ans. The Addition Rule states that for mutually exclusive events A and B, the probability of either event occurring is equal to the sum of their individual probabilities, P(A or B) = P(A) + P(B).
| 4. Are mutually exclusive events always independent? | |
Ans. No, mutually exclusive events are not always independent. While mutually exclusive events cannot occur simultaneously, independent events are events whose probabilities do not affect each other's occurrence or non-occurrence.
| 5. Can two events be both mutually exclusive and independent? | |
Ans. No, two events cannot be both mutually exclusive and independent. Mutually exclusive events have no outcomes in common, while independent events are events whose probabilities do not influence each other. Therefore, these two characteristics are contradictory and cannot coexist in the same events.
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