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Math Help - Finding Probability using tree tables and outcome tables.

  1. #1
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    Finding Probability using tree tables and outcome tables.

    A tes has four true/false questions.

    A) draw a tree diagram showing all possible true/false combinations for the answers to the test.

    1)T =T/F
    F =T/F
    2)T =T/F
    F =T/F
    3)T =T/F
    F =T/F
    4)T =T/F
    F = T/F

    16 different combos.

    b) Determine the probability that student will get four correct
    1/2 chance of getting each correct so 1/2 x 1/2 x 1/2 x1/2 (4 questions, 4x)= 1/16

    c) Determine the probability that student will get three questions correct by guessing.
    This one i kept getting 1/8 i might be solving it the wrong way but I followed the same pattern as part b.
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  2. #2
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    Quote Originally Posted by Skoz View Post
    A tes has four true/false questions.

    A) draw a tree diagram showing all possible true/false combinations for the answers to the test.

    1)T =T/F
    F =T/F
    2)T =T/F
    F =T/F
    3)T =T/F
    F =T/F
    4)T =T/F
    F = T/F

    16 different combos.

    b) Determine the probability that student will get four correct
    1/2 chance of getting each correct so 1/2 x 1/2 x 1/2 x1/2 (4 questions, 4x)= 1/16

    c) Determine the probability that student will get three questions correct by guessing.
    This one i kept getting 1/8 i might be solving it the wrong way but I followed the same pattern as part b.
    (c) There are 4 branches on your tree diagram corresponding to three correct guesses and one wrong guess. Each branch has a probability of 1/16. So it's 4 (1/2)^4 = 1/4.
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