statistics

your teacher has invented a fair dice game to play. your teacher will roll one fair eight sided die and you will roll a fair six sided die. each player rolls once and the winner is the person with the higher number. in case of a tie neither player wins.
a. let A be the event "your teacher wins" find P(A).

B. let b be the event "you get a 3 on your first roll.+ Find P( A u B).

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  1. Consider the outcomes as ordered pairs of the form
    (teacher, student)

    we could list them as follows

    11 12 13 14 15 16
    21 22 23 24 25 26
    ...
    71 72 73 74 75 76
    81 82 83 84 85 86

    there are 48 outcomes
    15 have teacher < student
    6 have teacher = student
    27 have teacher > student

    P(teacher wins) = 27/48 = 9/16

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