MAT 1272 Statistics, SP2014

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  • #13694

    Ezra Halleck
    Participant

    Roll a pair of 4 sided-dice (one is a green die and the other is red).
    a. Use a tree to find all the possible outcomes.
    b. Write the sample space as a set (you may use 13 to denote the ordered pair (1,3), green=1, red=3).
    c. Write the event A = “green die is 1” as a set and find its probability.
    d. Without listing the event as a set, describe the complement of the event A in words and find its probability.
    e. Write the event B = “sum is 2 or 3” as a set and find its probability.
    f. Without listing the event as a set, describe the complement of the event B in words and find its probability.

    #17657

    Eric Osorio
    Member

    b) S= {1.1, 1.2, 1.3, 1.4, 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4}

    c) A= {1.1, 1.2, 1.3, 1.4}
    P(A)= 4/16 = 1/4

    #17668

    BLucien
    Participant

    D) A’ = green die is 2,3 or 4
    P(A)= 1 – P(A)
    = 1 – 1/4
    = 3/4

    E) B= (1,1 1,2 2,1)
    P(B) = 3/16

    F) (B’) = 1 – P(B)
    = 1 – 3/16
    = 16/16 – 3/6
    = 13/16
    B’ sum is not 2 or 3

    #17683

    Caroline Carreño
    Participant

    a) Will show tree diagram in class

    b)
    S= {1.1, 1.2, 1.3, 1.4, 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4}

    c)
    A= {1.1, 1.2, 1.3, 1.4}
    P(A)= 4/16 = 1/4

    d)
    A’ = green die is 2,3 or 4
    P(A)= 1 – P(A)= 3/4

    e)
    B= (1,1 1,2 2,1)
    P(B) = 3/16

    f)
    (B’) = 1 – P(B)
    = 1 – 3/16
    = 16/16 – 3/6
    = 13/16
    B’ sum is not 2 or 3

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