Using a 6 sided number cube. What is the sum of the probability of rolling
a 6 and the probability of not rolling a 6? *

On a non bias die the probability of rolling a 6 will be 1/6

The probability of not rolling a 6 will be 5/6

If 2 dice used we use combinations to either total a number or to throw 2 independent numbers either relation to odd even same or add up to a number like just said. So if the combined number from a non bias die is 6 then the probability workings are table workings of 36 combinations where only 5 add up to 6

which shows each die having an equal chance to contribute to > 6

We therefore total these numbers up

rolling pair of dice to both = combined 6 = 5/36 = 13.89%

As the numbers could combine equal 2,3,4,5,6,7,8,9,10,11,12 several times each for some until 36 combinations.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.