What is the probability of rolling six standard, six-sided dice and getting six distinct numbers? Express your answer as a common fraction.
"What is the probability of rolling six standard, six-sided dice and getting six distinct numbers?"
Doesn't matter what the first one is: probability = 1
There are 5 possibilities for the second one: probability = 5/6
There are 4 possibilities for the third one: probability = 4/6
There are 3 possibilities for the fourth one: probability = 3/6
There are 2 possibilities for the fifth one: probability = 2/6
There is 1 possibility for the sixth one: probability = 1/6
Overall probability is obtained by multiplying all the above together (then reduce to lowest terms).
"What is the probability of rolling six standard, six-sided dice and getting six distinct numbers?"
Doesn't matter what the first one is: probability = 1
There are 5 possibilities for the second one: probability = 5/6
There are 4 possibilities for the third one: probability = 4/6
There are 3 possibilities for the fourth one: probability = 3/6
There are 2 possibilities for the fifth one: probability = 2/6
There is 1 possibility for the sixth one: probability = 1/6
Overall probability is obtained by multiplying all the above together (then reduce to lowest terms).