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1. A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows: A: The blue

1. A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows:

  • A: The blue die shows a number greater than 2.
  • B: The red die shows a number less than 5

What is p(A|B)? (Round to four decimal places.) 2. In a network of 40 computers, 4 have a copy of a particularly critical file to sustain an organization's regular operations. Suppose that 9 computers at random fail. What is the probability that all 4 computers with the critical file fail in this incident? (Round to four decimal places.)

3. According to a recent survey of 50 million citizens in the United States, 4 million were planning to start a new degree program or continue their education in the next year.

According to this data, what is the probability that a random U.S. citizen you meet is not planning to start a new degree program or continue their education in the next year? (Round to four decimal places.)

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