Two six-sided dice are rolled (one red and one green). some possibilities are (red=1,green=5) or (red=2,green=2) etc.
(a) how many total possibilities are there?
for the rest of the questions, we will assume that the dice are fair and that all of the possibilities in (a) are equally likely.
(b) what is the probability that the sum on the two dice comes out to be 9?
(c) what is the probability that the sum on the two dice comes out to be 12?
(d) what is the probability that the numbers on the two dice are equal?

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.

sadsadsadsad

step-by-step explanation: