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 2 years ago
What is the probability that a die is rolled six times and gives the numbers 16 in order?
 2 years ago
What is the probability that a die is rolled six times and gives the numbers 16 in order?

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mathstudent55
 2 years ago
Best ResponseYou've already chosen the best response.1Each 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

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0The outcomes are not connected. So the probability is 1/6, every time. You need to multiply the probabilities.

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.0@mathstudent55 is it written like this? dw:1360611009531:dw

ZeHanz
 2 years ago
Best ResponseYou've already chosen the best response.0No, it's \[\left( \frac{ 1 }{ 6 } \right)^6=\frac{ 1 }{ 6^6 }=\frac{ 1 }{ 46656 }\]

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.0I see now. Thank you!
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