现有编号分别为1,2,3,4,5,6,7,8,9的九道不同的数学题,某同学从这九道题中一次随机抽取两道题,每题被抽到的概

1个回答

  • (1)共有36种基本事件,列举如下:(1,2),(1,3),(1,4),(1,5),(1,6),

    (1,7)(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),

    (2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9);

    (2)设事件A=“两道题的编号之和小于17但不小于11”

    则事件A包含事件有:(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)

    共15种.

    ∴P(A)=

    15

    36 =

    5

    12 .