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JohnnyCowCow

  • 2 years ago

Maria has two fair coins. She flips them in the air. She believes it is equally likely they land 2 heads, 2 tails, or 1 head and 1 tail. Which of the following statements is NOT true? Answers: A. The probability of 2 heads is 25 %. B. The probability of 1 head and 1 tail is 33 %. C. The probability of 2 heads is less than the probability of 1 head and 1 tail. D. The probability of either 2 heads or 2 tails is the same as the probability of 1 head and 1 tail.

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  1. mathstudent55
    • 2 years ago
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    Maria has it wrong. Can you come up with all the possible outcomes of this coin toss?

  2. JohnnyCowCow
    • 2 years ago
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    ... umm ok?

  3. mathstudent55
    • 2 years ago
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    Fill in this table: |dw:1364248207123:dw| Remember, each coin can only have an outcome of heads or tails.

  4. JohnnyCowCow
    • 2 years ago
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    Tail Tail Head Head Head Tail Tail Head

  5. mathstudent55
    • 2 years ago
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    Right. How many possible different outcomes are there?

  6. JohnnyCowCow
    • 2 years ago
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    Four

  7. JohnnyCowCow
    • 2 years ago
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    It is either B or C I cannot decide

  8. mathstudent55
    • 2 years ago
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    Good. There are 4 possible outcomes. 1 outcome out of 4 is 2 heads (25% probability) 1 outcome out of 4 is 2 tails (25% probabilty) 2 outcomes out of 4 are 1 heads and 1 tails (50% probability)

  9. JohnnyCowCow
    • 2 years ago
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    So it is B?

  10. mathstudent55
    • 2 years ago
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    Correct. The probabillity of 1 heads and 1 tails is 50%, not 33%. That's why I wrote above Maria is wrong. She thought that all three outcomes have the same probabiltity.

  11. JohnnyCowCow
    • 2 years ago
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    Thank you! My teacher puts topics on our semester projects that she hasn't covered yet :P

  12. mathstudent55
    • 2 years ago
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    I guess she's challenging her students. Part of your challenge is to come to OS and ask to try to figure it out. You're welcome.

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