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For any three consecutive number what is true about odds and evens?
There's at least one of each.
Which group of numbers evens or odds includes more prime numbers?
Odds
How many unique ways can 13 be obtained from the sum of 6 odd numbers?
None. The sum of any two odds must be even. The sum of any two evens must be evens so the sum of any number of evens must be even. So the sum of 6 odds = sum of 3 pairs of evens = ie sum of 3 evens even + even + even = even 13 is odd and the sum of 6 odds is even so there is no way that one can be made the same as the other.
How do you count by odd numbers?
evens are 2,4,6,8,10's odds are everything between!
When Rolling a die 5 times and noting whether it is odd or even on each roll what is the size of sample space?
It all depends on what you do with the information that you note. If you count up the number of odds [or evens] in the five rolls, your sample space is {0,1,2,3,4,5} with size 6. If you look for whether you had more odds than evens your sample space is {Y,N}, with size 2. If you subtract the number of even outcomes from the number of odd outcomes, your sample space is {-5,-4,,...,4,5} which is of size 11.
