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HorseCrazyGirlForever

  • one year ago

What is the probability that a die is rolled six times and gives the numbers 1-6 in order?

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  1. mathstudent55
    • one year ago
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    Each roll of an unbiased die is an independent event. The total number of outcomes of six consecutive rolls is 6^6. The probability of one specific outcome is 1/6^6

  2. ZeHanz
    • one year ago
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    The outcomes are not connected. So the probability is 1/6, every time. You need to multiply the probabilities.

  3. HorseCrazyGirlForever
    • one year ago
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    @mathstudent55 is it written like this? |dw:1360611009531:dw|

  4. ZeHanz
    • one year ago
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    No, it's \[\left( \frac{ 1 }{ 6 } \right)^6=\frac{ 1 }{ 6^6 }=\frac{ 1 }{ 46656 }\]

  5. HorseCrazyGirlForever
    • one year ago
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    I see now. Thank you!

  6. mathstudent55
    • one year ago
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    You're welcome.

  7. ZeHanz
    • one year ago
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    yw!

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