Question 1022636
 
Question:Please help!!
A fair die is rolled 6 times. Find the probability that all 6 rolls are different. Simplify using a fraction in lowest term.
 
Solution:
There are 6^6 permutations when we roll a die 6 times.
There are 6! permutations when we have six distinct digits (1-6).
So probability that all six throws are distinct
= {{{6!/6^6}}}
= {{{720/46656}}}
= {{{5/324}}}
= 0.015432 (approximately)