Dice problem

[Agamemnus]

Nice. So it is ~4.

[1000101]

The problem asks for the number of times you get 5 fours on a roll of 8 dice. As TBBQ said this is different from the number of times you get atleast 5 fours. It means exactly 5 fours.

The exclusion of a denomination does not mean the specific inclusion of a NOT denomintation, ie: 5 of 8 != NOT 5 of 8.

[SCM]

1000101,

The results are different for the cases of 5 and 5 or more, so we have confusion here. That is why there are different terms for different situations, just so there will not be any confusion. There different ways to state each case, but there is no overlap.

r < 5 : "Less than 5", "Fewer than 5"
r <= 5: "At most 5", "5 or less", "Not more than 5"
r = 5 : "5", "exactly 5"
r >= 5: "Atleast 5", "5 or more", "Not less than 5"
r > 5 : "greater than 5", "More than 5"

If a problem asks for the number of times you get 5 fours, it is asking for exactly 5 fours. The cases of 6, 7, and 8 fours are excluded, because they were not included.

[1000101]

As I said, the exclusion of a specifier doesn't mean the NOT inclusion.

Just because '5' was stated, it does *not* mean necessaraly that it is to be 'exactly' 5. On that note 6, 7 or 8 are valid since 6, 7 and 8 all include the subset of 5.

[Agamemnus]

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