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Math Help - Probability theory

  1. #1
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    Probability theory

    Conditions: Suppose that a coin is flipped and a die is rolled. Let E_1 denote the Event "the coin shows a tail," let E_2 denote the event "the die shows a 3" and let E_3 denote the event "the coin shows heads and the die shows an odd number."

    Problem: Are E_1 and E_2 mutually exclusive?


    I am pretty much lost here and really dont even know where to start.

    Pwr
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  2. #2
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    Lightbulb Sorry

    This was accidentally posted in the wrong forum. Sorry
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by pwr_hngry View Post
    Conditions: Suppose that a coin is flipped and a die is rolled. Let E_1 denote the Event "the coin shows a tail," let E_2 denote the event "the die shows a 3" and let E_3 denote the event "the coin shows heads and the die shows an odd number."

    Problem: Are E_1 and E_2 mutually exclusive?


    I am pretty much lost here and really dont even know where to start.

    Pwr

    No draw a Venn diagram of the situation. Are the areas represented by
    E1 and E2 disjoint? No they overlap whenever both the coin shows a tail
    and the die a 3. Therefore they are not mutually exclusive.

    RonL
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  4. #4
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    Hello, pwr_hngry!

    Suppose that a coin is flipped and a die is rolled.
    Let E
    1 denote the event: "the coin shows a tail".
    Let E
    2 denote the event: "the die shows a 3".

    Problem: Are E
    1 and E2 mutually exclusive?
    How about starting with the definition of "mutually exclusive".
    . . You don't know it?

    Two events are mutually exclusive if they cannot happen at the same time.


    Flip a coin and roll a die.
    Is it possible to get a "tail" on the coin and a "3" on the die?

    Well?

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  5. #5
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    Soroban,
    By that definition of Mutually exclusive, it is definitely possible to roll a 3 on the die and have heads show on a coin. This would mean that tha E_1 and E_2 are NOT mutually exclusive.

    Thanks for the Help Soroban and Captain Black.

    Pwr.
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