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HorseCrazyGirlForever Group Title

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

  • one year ago
  • one year ago

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  1. mathstudent55 Group Title
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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

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

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

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

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

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

    • one year ago
  7. ZeHanz Group Title
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    yw!

    • one year ago
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