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[16 marks] ( Lecture 4 ) There are two different and independent lottery games: Lottery A and Lottery B. Mike buys one ticket of Lottery
- [16 marks] (Lecture 4) There are two different and independent lottery games: Lottery A and Lottery B. Mike buys one ticket of Lottery A and one ticket of Lottery B. For the ticket of Lottery A, the chance of winning is 15%; for the ticket of Lottery B, the chance of winning is 10%. Answer the following questions:
- What is the probability that Mike wins both lotteries?
- What is the probability that Mike wins at least one of the lotteries?
- What is the probability that Mike wins just one of the lotteries?
- What is the probability that Mike not wins any of the lotteries?
- Given that Mike wins at least one of the lotteries, what is the probability that he wins Lottery A?
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