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Probability of the Event 'A' or 'B' Video Lecture | Mathematics for GRE Paper II

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FAQs on Probability of the Event 'A' or 'B' Video Lecture - Mathematics for GRE Paper II

1. What is the probability of event A or B occurring?
Ans. The probability of event A or B occurring can be calculated by adding the individual probabilities of event A and event B and subtracting the probability of both events happening at the same time. Mathematically, it can be expressed as P(A or B) = P(A) + P(B) - P(A and B).
2. How do you calculate the probability of event A or B if the events are mutually exclusive?
Ans. If events A and B are mutually exclusive, it means that they cannot occur at the same time. In this case, the probability of event A or B occurring is simply the sum of their individual probabilities. Mathematically, it can be expressed as P(A or B) = P(A) + P(B).
3. Can you provide an example of calculating the probability of event A or B?
Ans. Sure! Let's say the probability of event A occurring is 0.4 and the probability of event B occurring is 0.3. If the events are not mutually exclusive, we need to consider the probability of both events happening at the same time. If the probability of both events occurring simultaneously is 0.1, then the probability of event A or B can be calculated as P(A or B) = P(A) + P(B) - P(A and B) = 0.4 + 0.3 - 0.1 = 0.6.
4. What is the difference between the probability of event A and the probability of event A or B?
Ans. The probability of event A represents the likelihood of event A occurring, while the probability of event A or B represents the likelihood of either event A or event B occurring. The probability of event A or B is generally higher than the probability of event A alone because it includes the possibility of event B occurring as well.
5. Can the probability of event A or B be greater than 1?
Ans. No, the probability of any event, including the probability of event A or B, cannot be greater than 1. Probability values range from 0 to 1, where 0 represents impossibility and 1 represents certainty. If the sum of the individual probabilities of event A and event B exceeds 1, it indicates a mistake in the calculations.
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