anonymous 3 years ago What is the probability that a die is rolled six times and gives the numbers 1-6 in order?

1. mathstudent55

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. anonymous

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

3. anonymous

@mathstudent55 is it written like this? |dw:1360611009531:dw|

4. anonymous

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

5. anonymous

I see now. Thank you!

6. mathstudent55

You're welcome.

7. anonymous

yw!