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HorseCrazyGirlForever
What is the probability that a die is rolled six times and gives the numbers 1-6 in order?
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
The outcomes are not connected. So the probability is 1/6, every time. You need to multiply the probabilities.
@mathstudent55 is it written like this? |dw:1360611009531:dw|
No, it's \[\left( \frac{ 1 }{ 6 } \right)^6=\frac{ 1 }{ 6^6 }=\frac{ 1 }{ 46656 }\]
I see now. Thank you!