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In: Advanced Math

For each of the following questions carefully define (1) the sample space and (2) the event...

For each of the following questions carefully define (1) the sample space and (2) the event under

consideration. Then (3) determine the probability. For full credit, you will have to display these three parts. We are given six cards: Two of the cards are black and they are numbered 1, 2; and the other four cards are red and they are numbered 1, 2, 3, 4. We pick two cards at the same time.



  1. What is the probability that both cards are black?

  2. What is the probability that both cards are black, if we know that at least one of them is

    black?

  3. What is the probability that both cards are black, if we know that one of them is a black card numbered 1.

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