StatisticsdrillMultiplication rule: all succeed
A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.
The task
Consider a data pipeline with three stages that fail independently. Each part works with probability 0.9, 0.85, 0.99 respectively, independently of the others. Everything must work for the whole thing to succeed. What is the probability of success? Round to 4 decimal places.
What this problem teaches
The formula: P(A and B and C) = P(A) × P(B) × P(C) for independent events.
A hint if you get stuck
For independent events that must all happen, multiply their probabilities.
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