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Fun Video: Introduction to Probability with an Example Video Lecture | Mathematics (Maths) Class 11 - Commerce

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FAQs on Fun Video: Introduction to Probability with an Example Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is probability and why is it important in statistics?
Ans. Probability is a branch of mathematics that deals with the likelihood of events occurring. It allows us to quantify uncertainty and make predictions based on available information. In statistics, probability is crucial as it helps us analyze data, make informed decisions, and understand the likelihood of different outcomes.
2. How is probability calculated?
Ans. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This ratio represents the likelihood of a specific event occurring. For example, if we want to find the probability of rolling a 6 on a fair six-sided die, there is only one favorable outcome (rolling a 6) out of six possible outcomes (numbers 1 to 6), so the probability would be 1/6.
3. What is the difference between theoretical probability and experimental probability?
Ans. Theoretical probability is the probability based on mathematical calculations and assumptions. It is determined by analyzing the sample space and assuming that all outcomes are equally likely. On the other hand, experimental probability is based on actual experiments or observations. It involves collecting data and calculating the probability from the observed frequencies of specific outcomes.
4. How do you calculate the probability of independent events?
Ans. The probability of independent events is calculated by multiplying the probabilities of each individual event. If two events A and B are independent, the probability of both events occurring is given by P(A and B) = P(A) * P(B). This rule applies when the occurrence of one event does not affect the probability of the other event.
5. What is the difference between mutually exclusive events and independent events?
Ans. Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other event cannot occur. For example, getting a head or a tail on a single coin toss is mutually exclusive. On the other hand, independent events are events that are not influenced by each other. The occurrence or non-occurrence of one event does not affect the probability of the other event. For example, rolling a 6 on a die and flipping a coin and getting a head are independent events.
75 videos|238 docs|91 tests

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