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When Alice spends the day with the babysitter, there is a 0.5 chance she turns on the TV and watches a show. Her little sister Betty cannot turn on the TV by herself. But once the TV is on, Betty watches with probability 0.8. Tomorrow the girls spend the day with the babysitter.
What is the probability that both Alice and Betty watch TV tomorrow?
What is the probability that Betty watches TV tomorrow?
What is the probability that both Alice watches TV tomorrow but Betty does not?
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