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50 Challenging Problems

rawr schoolshts 3 questions

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Questions in this quiz (3)

  1. 1"A drawer contains red socks and black socks. When two socks are drawn at random, the probability that both are red is 0.5.
    (a) How small can the number of socks in the drawer be?
    (b) How small if the number of black socks is even?"


    1. A4 and 21
    2. B3 and 21
    3. C4 and 23
    4. D5 and 24
  2. 2To encourage Elmer's promising tennis career, his father offers him a prize if he wins (at least) two tennis sets in a row in a three-set series to be played with his father and the club champion alternately: father-champion• father or champion-father-champion, according to Elmer's choice. The champion is a better player than Elmer's father. Which series should Elmer choose?

    1. AChampion-Champion-Father
    2. BChampion-Father-Champion
    3. CFather-Champion-Champion
  3. 3A three-man jury has two members each of whom independently has probability p of making the correct decision and a third member who flips a coin for each decision (majority rules). A one-man jury has probability p of making the correct decision. Which jury has the better probability of making the correct decision?

    1. AOne man jury has different probability of making the correct decision with the three-man jury.
    2. BOne man jury has the same probability of making the correct decision with the three-man jury.

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Quiz on 50 Challenging Problems, created by rawr schoolshts on 03/11/2022.
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English
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