RANDOM SIGNAL ANALYSIS Roll 6 6sided fair dice What is the p

RANDOM SIGNAL ANALYSIS:

Roll 6 6-sided fair dice. What is the probability that all 6 rolls are different?

Solution

All 6 rolls outcomes are different then the possible combinations are:

6*5*4*3*2*1

no. of possible 6 rolls outcomes are

6*6*6*6*6*6

the probability that all 6 rolls different is = 6!/6^6 = (5/324)