Question

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

Answer 1

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

Answer 2

The outcomes are not connected. So the probability is 1/6, every time.
You need to multiply the probabilities.

Answer 3

@mathstudent55 is it written like this?

Answer 4

No, it's \[\left( \frac{ 1 }{ 6 } \right)^6=\frac{ 1 }{ 6^6 }=\frac{ 1 }{ 46656 }\]

Answer 5

I see now. Thank you!

Answer 6

You're welcome.

Answer 7

yw!