What are the odds of rolling 10 dice the same?

Answer 1

See a solution process below:

The first die you roll it does not matter what you roll, so the is a 6 in 6 chance of rolling some number. Or

#6/6#

The is a 1 in 6 chance of rolling the same number on each of the other 9 dice as you rolled on the first die. Or:

#6/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 =>#
#1 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 =>#
#1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 xx 1/6 =>#
#1/6^9#

Or

a 1 in 10,077,696 chance

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Answer 2

The odds of rolling 10 dice and getting the same result on all of them are 1 in 6^9, or approximately 1 in 10.08 billion.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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