Question: 1. 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?
2. Suppose the class {Ai : 1 ≤ i ≤ n} is independent, with P (Ai) = pi, 1≤ i ≤ n. What is the probability that at least one of the events occurs? What is the probability that none occurs?