## 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

1. mathstudent55 Group Title

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. ZeHanz Group Title

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

3. HorseCrazyGirlForever Group Title

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

4. ZeHanz Group Title

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

5. HorseCrazyGirlForever Group Title

I see now. Thank you!

6. mathstudent55 Group Title

You're welcome.

7. ZeHanz Group Title

yw!