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Multiplication theorem of Probability- Probability Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

FAQs on Multiplication theorem of Probability- Probability Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the multiplication theorem of probability?
Ans. The multiplication theorem of probability, also known as the multiplication rule, states that the probability of two independent events occurring together is equal to the product of their individual probabilities. Mathematically, it can be expressed as P(A and B) = P(A) * P(B), where P(A) and P(B) represent the probabilities of events A and B, respectively.
2. How is the multiplication theorem of probability applied in real-life scenarios?
Ans. The multiplication theorem of probability is widely used in various real-life scenarios. For example, it can be used to determine the probability of drawing two specific cards from a deck, the probability of rolling two different numbers on a pair of dice, or the probability of a certain combination of outcomes in genetic inheritance.
3. Can the multiplication theorem of probability be applied to dependent events?
Ans. No, the multiplication theorem of probability is specifically applied to independent events. Independent events are those where the occurrence or non-occurrence of one event does not affect the probability of the other event occurring. If events are dependent, meaning that the occurrence or non-occurrence of one event affects the probability of the other event, the multiplication theorem cannot be used.
4. How does the multiplication theorem of probability relate to conditional probability?
Ans. Conditional probability is the probability of an event occurring given that another event has already occurred. The multiplication theorem of probability can be used to calculate conditional probabilities. By applying the theorem, we can find the probability of two events occurring together, taking into account the effect of the first event on the probability of the second event.
5. Are there any limitations or assumptions associated with the multiplication theorem of probability?
Ans. Yes, there are certain limitations and assumptions associated with the multiplication theorem of probability. One assumption is that the events being considered are independent. Additionally, the theorem assumes that the occurrence of one event does not affect the probability of the other event. If these assumptions are not met, the multiplication theorem may not provide an accurate probability calculation.
204 videos|288 docs|139 tests

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