Wolfram|Alpha

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Input interpretation:

probability of the union of three events


Input values:

probability of A | 0.4\nprobability of B | 0.47\nprobability of C | 0.57\nprobability of A intersection B | 0.17\nprobability of A intersection C | 0.15\nprobability of B intersection C | 0.22\nprobability of A intersection B intersection C | 0.05


Result:

probability of A union B union C | 0.95


Formula:

P (A union B union C) = P(A) + P(B) + P(C) - P(A intersection B) - P(A intersection C) - P(B intersection C) + P(A intersection B intersection C)

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