- #1
sauravrt
- 15
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If A and B are two events and I want to look at their joint probability P(A.B) do I have to be concerned with the order in with A and B occur?
Saurav
Saurav
Joint probability is the probability of two or more events occurring together. It is a measure of the likelihood of the intersection of two or more events happening simultaneously.
Joint probability is calculated by multiplying the individual probabilities of each event. For example, if event A has a probability of 0.5 and event B has a probability of 0.7, the joint probability of both events occurring is 0.5 * 0.7 = 0.35.
Joint probability is the probability of two or more events occurring together, while conditional probability is the probability of one event occurring given that another event has already occurred. Conditional probability takes into account prior knowledge about the occurrence of one event when calculating the probability of another event.
Joint probability and marginal probability are related in that joint probability is the product of the marginal probabilities of each event. Marginal probability is the probability of a single event occurring, without taking into account any other events. In other words, joint probability is a combination of multiple marginal probabilities.
Joint probability is commonly used in fields such as statistics, actuarial science, and machine learning to model and predict the likelihood of multiple events occurring together. It can also be applied in risk assessment and insurance pricing, as well as in medical research to understand the probability of multiple factors contributing to a disease or condition.