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Examples: Probability- 3 Video Lecture | Mathematics (Maths) Class 10

122 videos|474 docs|105 tests

FAQs on Examples: Probability- 3 Video Lecture - Mathematics (Maths) Class 10

1. What is probability and how is it related to the concept of chance?
Ans. Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is closely related to the concept of chance as it quantifies the likelihood of an event happening in terms of a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
2. How is probability calculated and expressed?
Ans. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is then expressed as a fraction, decimal, or percentage. For example, if we toss a fair coin, the probability of getting a head is 1/2 or 0.5 or 50%.
3. What is the difference between theoretical probability and experimental probability?
Ans. Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. It is determined by analyzing the nature of the event or experiment. On the other hand, experimental probability is determined by conducting actual experiments or observations and calculating the probability based on the observed outcomes.
4. How are mutually exclusive events different from independent events in probability?
Ans. Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other cannot happen. For example, when rolling a dice, getting an odd number and getting an even number are mutually exclusive events. Independent events, on the other hand, are events where the occurrence or non-occurrence of one event does not affect the occurrence or non-occurrence of the other event. For example, flipping a coin and rolling a dice are independent events.
5. What is the addition rule of probability and how is it used?
Ans. The addition rule of probability states that the probability of the occurrence of either of two mutually exclusive events is equal to the sum of their individual probabilities. This rule is used when we want to find the probability of at least one of the two events happening. For example, when rolling a fair six-sided dice, the probability of getting either a 3 or a 4 is 1/6 + 1/6 = 1/3.
122 videos|474 docs|105 tests

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