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One of Maple Ledger’s 50 invoices is drawn at random; P(late) = 0.24, P(error) = 0.16 and P(late and error) = 0.06. Compute P(late or error). Tolerance ±0.005.

One of Maple Ledger’s 50 invoices is drawn at random; P(late) = 0.24, P(error) = 0.16 and P(late and error) = 0.06. Compute P(late or error). Tolerance ±0.005.

Answer

0.34

Cells - P(late or error) · ±0.005 P(A ∪ B) = P(A) + P(B) − P(A ∩ B) = 0.24 + 0.16 − 0.06 = 0.34. The overlap is in both margins and is removed once. Check by cells: (3 + 9 + 5)/50 = 17/50.

IBS1 §3.3 (addition rule), §3.5 (Venn diagrams), CC BY 4.0 — shape only; original dataset

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