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Short Tricks on Probability Video Lecture | Mathematics (Maths) Class 10

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FAQs on Short Tricks on Probability Video Lecture - Mathematics (Maths) Class 10

1. What is the basic formula for calculating probability?
Ans. The basic formula for calculating probability is given by: \[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \] Where \( P(A) \) is the probability of event \( A \) occurring.
2. How do you find the probability of independent events?
Ans. For independent events, the probability of both events occurring is found by multiplying their individual probabilities: \[ P(A \text{ and } B) = P(A) \times P(B) \] This means that the occurrence of one event does not affect the other.
3. What is the difference between theoretical and experimental probability?
Ans. Theoretical probability is based on the expected outcomes in a perfect scenario, calculated using the formula: \[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \] Experimental probability, however, is based on actual experiments and is calculated using: \[ P(A) = \frac{\text{Number of times event A occurred}}{\text{Total trials}} \]
4. How can you calculate the probability of mutually exclusive events?
Ans. For mutually exclusive events, the probability of either event occurring is found by adding their individual probabilities: \[ P(A \text{ or } B) = P(A) + P(B) \] This is because mutually exclusive events cannot happen at the same time.
5. What is the significance of the addition and multiplication rules in probability?
Ans. The addition rule is significant for calculating the probability of the occurrence of at least one of several events, especially when events are mutually exclusive. The multiplication rule is crucial for finding the probability of the simultaneous occurrence of independent events. Together, these rules form the foundation for solving complex probability problems.
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