The probability of an event is a measure of the likelihood that the event will occur. It is calculated as the ratio of favorable outcomes to total possible outcomes. Probability values range from 0 (impossible event) to 1 (certain event). ...
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P(A) = 4/5 and P(A ∩ B) = 7/10, this means the probability of event A occurring is 4/5, and the probability of both events A and B occurring together is 7/10. To find P(B), use the formula P(A ∩ ...
Probability is the measure of the likelihood of an event occurring. It ranges from 0 (impossible event) to 1 (certain event). The probability of an event is calculated as the ratio of favorable outcomes to total possible outcomes. It is ...
P(A ∩ B) represents the probability of both events A and B occurring simultaneously. If A and B are independent, then P(A ∩ B) = P(A) × P(B). For dependent events, the probability of their intersection can be calculated using ...
Two events E and F are independent if the occurrence of one does not affect the occurrence of the other. Mathematically, they are independent if P(E ∩ F) = P(E) × P(F). This relationship is fundamental in probability theory and ...
Independent events in probability are events where the occurrence of one does not affect the occurrence of the other. Mathematically two events A and B are independent if P(A ∩ B) = P(A) × P(B). These events are important in ...
An element in probability refers to a single outcome within a sample space of a random experiment. Each element represents a possible result and helps in defining events. The total number of elements in a sample space determines probability calculations ...
Possible values in probability refer to the different outcomes a random variable can take in an experiment. These values can be finite or infinite depending on the nature of the experiment. They help in determining probabilities using probability distributions and ...
An event is a specific outcome or a set of outcomes of a random experiment. Events can be independent or dependent mutually exclusive or non-mutually exclusive. The probability of an event occurring is measured between 0 and 1 where 0 ...
In Class 12 Maths Probability, two events A and B are independent if the occurrence of one does not affect the occurrence of the other. Mathematically, they satisfy: P(A ∩ B) = P(A) × P(B) This holds for both mutually ...