An airline has 3 flights from Chicago to New York, Atlanta, and Los Angeles. Let denote the event that the New York flight is full and define events and analogously.

And and the three events are independent. Compute the following probabilities:

(a) all 3 flights are full. at least one flight is not full.

So and .

(b) only the New York flight is full. exactly one of the three flights is full.

So ?

And the probability that exactly one flight is full is:

are these correct?