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Thread: Discrete Math question

  1. #1
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    Question Discrete Math question


    Discrete Math question-download.png

    Can someone confirm if this is done correctly?

    I dont know if my justification is good enough.
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  2. #2
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    Re: Discrete Math question

    Quote Originally Posted by inayat View Post

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    Can someone confirm if this is done correctly?\
    I dont know if my justification is good enough.
    Correct! Well done.
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  3. #3
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    Re: Discrete Math question

    $|A \cup B| = |A|+|B| - |A \cap B|$

    $|\text{combinatorics or algebra}]| = |\text{combinatorics}|+|\text{algebra}| - |\text{combinatorics and algebra}| = 75 + 60 - 25 = 110$

    $P[\text{combinatorics or algebra}] = \dfrac{110}{150} = \dfrac{11}{15}$

    $\text{neither combinatorics nor algebra} = \neg \text{combinatorics} \cap \neg \text{algebra}$

    $|\neg \text{combinatorics} \cup \neg \text{algebra}| = 150 - |\text{combinatorics or algebra}| = 150 - 110 = 40$

    $P[\text{neither combinatorics nor algebra}] = \dfrac{40}{150} = \dfrac{4}{15}$

    Looks like you did it correctly. Well done!
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