A mail-order firm considers three possible events in filling an order:A: The wrong item is sent.B: The item is lost in transit.C: The item is damaged in transit.Assume that A is independent of both B and C and that B and C are mutually exclusive. The individual event probabilities are P(A) = 0.02, P(B) = 0.01, and P(C) = 0.04. Find the probability that at least one of these foul-ups occurs for a randomly chosen order.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A mail-order firm considers three possible events in filling an order:
A: The wrong item is sent.
B: The item is lost in transit.
C: The item is damaged in transit.
Assume that A is independent of both B and C and that B and C are mutually exclusive. The individual event probabilities are P(A) = 0.02, P(B) = 0.01, and P(C) = 0.04. Find the probability that at least one of these foul-ups occurs for a randomly chosen order.

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