Determine Conditions for Multiplying Event Probabilities in Statistics

Q: Determine Conditions for Multiplying Event Probabilities in Statistics

This question evaluates understanding of probabilistic independence and factorization in probability theory, focusing on risk-event joint probabilities within statistics and risk modeling (Statistics & Math).

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Question

Scenario

You are modeling multiple, distinct risk events in Coinbase Wallet (e.g., E1, E2, …, En) and want the probability that all occur, or that none occur.

Question

Under what statistical hypothesis can you multiply individual event probabilities to compute:

P(all occur) = ∏ P(Ei), and
P(none occur) = ∏ (1 − P(Ei))?

Determine Conditions for Multiplying Event Probabilities in Statistics

Scenario

Question

Solution

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