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the probability distribution that results from assuming that a random variable is distributed according to some parametrized distribution, with (some of)

In probability and statistics, a compound probability distribution (also known as a mixture distribution or contagious distribution) is the probability distribution that results from assuming that a random variable is distributed according to some parametrized distribution, with (some of)

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the probability of two or more independent events occurring together

Compound probability is the probability of two or more independent events occurring together.

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a mathematical function that can be thought of as providing the probabilities of occurrence of different possible outcomes in an experiment

In probability theory and statistics, a probability distribution is a mathematical function that can be thought of as providing the probabilities of occurrence of different possible outcomes in an experiment.