Question

how many possible outcomes are there when you roll five dice?

Answer 1

Answer:

i think the answer is 7776

for two dice its 6x6 36 then 36×6 216 then 216×6 1296 then 1296×6 7776

Answer 2

Answer: 7776 possible outcomes

Step-by-step explanation:

You know that each dice has 6 possible results.

1, 2, 3, 4 , 5 , 6

Then, if you throw 2 dice, the possible results are 6(for the first one)*6(for the second one) = 6*6 = 36

then, as you add another die, you add another 6 to that equation, this means that for 5 dice we have

combinations = 6*6*6*6*6 = 6^5 = 7776

But in this situation most of the numbers can be repeated, for example, then number 6, can be made from (1 + 1 + 1 + 1 + 2), (1 + 2 + 1 + 1 + 1), (1 + 1 + 1 + 2 + 1 +1)

etc, this means that the die that rolls a 2 can change, but the end result of the addition is the same, in this case the total range of possible values is the amount of dice times the biggest value minus the amount of dice times the smallest value:

5*6 - 5*1 = 30 - 5 = 25 possible results

So you have 7776 combinations that give a only 25 possible results (a number between 5 and 30)