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# help

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What is the probability of rolling six standard, six-sided dice and getting six distinct numbers? Express your answer as a common fraction.

Jun 4, 2019

#1
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"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).

Jun 4, 2019

#1
+3

"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).

Alan Jun 4, 2019