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Back to 4.4 Problems on Independence of Events

4.4 Exercise 28

Avg difficulty 2.5

Under extreme noise conditions, the probability that a certain message will be transmitted correctly is 0.1. Successive messages are acted upon independently by the noise. Suppose the message is transmitted ten times. What is the probability it is transmitted correctly at least once?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 28

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.