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nam 發問於 科學及數學數學 · 1 十年前

propability?

Jack and Paul each tosses a coin twice. What is the propability that jack gets the same number of (Tails) as Paul?

answers:3/8 pls.

更新:

sorry !!is probability!!

1 個解答

評分
  • 1 十年前
    最愛解答

    For Jack and Paul get the same number of Tails as Paul,

    Denote T be tail, H be head.

    The possibilities are as followings:

    a. Jack: T,T. Paul: T,T

    b. Jack: T,T. Paul: T,H

    c. Jack: T,T. Paul: H,T

    d. Jack: T,T. Paul: H,H

    e. Jack: H,T. Paul: T,T

    f. Jack: H,T. Paul: T,H

    g. Jack: H,T. Paul: H,T

    h. Jack: H,T. Paul: H,H

    i. Jack: T,H. Paul: T,T

    j. Jack: T,H. Paul: T,H

    k. Jack: T,H. Paul: H,T

    l. Jack: T,H. Paul: H,H

    m. Jack: H,H. Paul: T,T

    n. Jack: H,H. Paul: T,H

    o. Jack: H,H. Paul: H,T

    p. Jack: H,H. Paul: H,H

    There are totally 16 possibilities. The red fonts represent the events that meet the requirements. There are totally 6 events fulfil the conditions.

    So, P(Jack gets the same number of tails as Paul)

    = 6 / 16

    = 3 / 8

    2007-06-02 11:07:31 補充:

    For a more convenient method:P(Jack gets the same number of tails as Paul)= P(Jack:T,T and Paul T,T) P(Jack:T,H and Paul:H,T) P(Jack:H,H and Paul H,H)= (1/2 X 1/2) X (1/2 X 1/2) (2 X 1/2 X 1/2) X (2 X 1/2 X 1/2) (1/2 X 1/2) X (1/2 X 1/2)= 1/16 1/4 1/16= 3/8

    資料來源: Myself~~~
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