Question

a) Consider four independent trials in which the event A occurs with the probability 0.3. The...

a)

Consider four independent trials in which the event A occurs with the probability 0.3. The event B will occur with the probability 1 if the event A occurs at least twice, it cannot occur if the event A does not occur, and it occurs with a probability 0.6 if the event A occurs once. Find the probability of the occurrence of the event B.

b)

The probability that an event occurs in each of 18 independent trials is 0.2. Find the probability that this event will occur at least three times?

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