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Probability: Rules of Probability Video Lecture | Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)
FAQs on Probability: Rules of Probability Video Lecture - Question Bank for GATE Computer Science Engineering - Computer Science Engineering (CSE)
| 1. What are the basic rules of probability? |  |
Ans. The basic rules of probability include the rule of sum, the rule of product, and the complement rule. The rule of sum states that the probability of either one of two mutually exclusive events occurring is the sum of their individual probabilities. The rule of product states that the probability of two independent events occurring together is the product of their individual probabilities. The complement rule states that the probability of an event not occurring is 1 minus the probability of the event occurring.
| 2. How do you calculate the probability of an event? | |
Ans. To calculate the probability of an event, you divide the number of favorable outcomes by the total number of possible outcomes. This is known as the classical probability formula. For example, if you flip a fair coin, there are two possible outcomes (heads or tails), and each outcome has an equal chance of occurring. Therefore, the probability of getting heads is 1/2, and the probability of getting tails is also 1/2.
| 3. What is the difference between independent and dependent events in probability? | |
Ans. Independent events are events where the outcome of one event does not affect the outcome of the other event. In other words, the probability of one event occurring does not change based on the occurrence or non-occurrence of the other event. Dependent events, on the other hand, are events where the outcome of one event does affect the outcome of the other event. The probability of a dependent event is influenced by the occurrence or non-occurrence of the previous event.
| 4. How do you find the probability of two dependent events occurring? | |
Ans. To find the probability of two dependent events occurring, you multiply the probability of the first event by the probability of the second event given that the first event has already occurred. This is known as the conditional probability. For example, if you draw a card from a deck without replacement, the probability of getting a red card on the first draw is 26/52. If you don't put the first card back and draw another card, the probability of getting a red card again is 25/51 (assuming the first card drawn was red).
| 5. What is the complement rule in probability? | |
Ans. The complement rule in probability states that the probability of an event not occurring is equal to 1 minus the probability of the event occurring. In other words, if the probability of event A occurring is P(A), then the probability of event A not occurring is 1 - P(A). This rule is often used to find the probability of the complement of an event when the probability of the event itself is known. For example, if the probability of rain on a particular day is 0.3, then the probability of no rain on that day would be 1 - 0.3 = 0.7.
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