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Math Help - Probability of rolling two dice

  1. #1
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    Probability of rolling two dice

    Link: http://i43.tinypic.com/mu7dzn.jpg

    This is the most confusing chapter out of all the chapters. I really appreciate it if you can help me through these problems. Thank you so much.
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  2. #2
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    Quote Originally Posted by krzyrice View Post
    Link: http://i43.tinypic.com/mu7dzn.jpg

    This is the most confusing chapter out of all the chapters. I really appreciate it if you can help me through these problems. Thank you so much.
    I've put my answers in spoiler tags, I hope you'll try to work them out for yourself

    1. This means the chance of A happening. In this case rolling a 1, 2 or 3 of a 6 sided die.

    Spoiler:

    P(A) = \frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}


    2. This is the chance of A or B happening and is equal to
    P(A U B) = P(A) + P(B) - P(A)P(B)

    Spoiler:
    \frac{1}{2} + \frac{2}{3} - \frac{1 \times 2}{2 \times 3} = \frac{5}{6}


    3. P(A n B) = P(A)P(B) and it's the chance of both happening

    Spoiler:
    \frac{1}{2} \times \frac{2}{3} = \frac{1}{3}


    4. This means the chance of b not happening and so it is equal to 1-P(B)

    Spoiler:
    1-\frac{2}{3} = \frac{1}{3}


    5. This one means the chance of a happening and b not happening:

    Spoiler:

    \frac{1}{2} \times \frac{1}{3} = \frac{1}{6}
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  3. #3
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    Thank you so much for the help! The spoiler technique was very useful in helping me check and to learn from my mistakes. Overall it wasn't as bad as I thought. You are a very good teacher thank you so much for help me with this.
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