Multiply together the probability that each event would have of occurring by itself. For example, the probability of rolling a "3" on a single die is 1/6 ,because there are 6 different possibilities. And the probability of flipping a "heads" on a coin is 1/2 , because there are two possibilities. Then the probability of rolling a "3" AND flipping a "heads" is ; 1/6 x 1/2 = 1/12 .
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It sounds like Bayesian statistics.
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No, the combined probability is the product of the probability of their separate occurrances.
Yes, it is possible for two dependent events to have the same probability of occurring. The probability of an event is dependent on the outcomes of other events, and it is influenced by the relationship between these events. So, it is conceivable for two dependent events to have equal probabilities.
Mathematical probability is a branch of mathematics that deals with the measurement and analysis of uncertainty or randomness in various events or outcomes. It involves using mathematical models and formulas to determine the likelihood or chance of particular events occurring, based on known information and assumptions about the situation. Probability is often expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.