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Consider three independent trials, in which the event A occurs with the probability 0.2. The probability of the occurrence of the event B depends on

Consider three independent trials, in which the event A occurs with the probability 0.2. The probability of the occurrence of the event B depends on the number of occurrences of A. If the event A occurs once, this probability is 0.1; if A occurs twice, it is 0.3; if A occurs three 5 times it is 0.7; if the event A does not occur, the event B is impossible. Find the most probable number of occurrences of A if it is known that B has occurred

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