Colored beads: green purple pink
number of times drawn: 18 26 6
molly has a bag filled with 3 colored beads green, purple, and pink. molly randomly pulls out of the bag, records the color, and places the bead back into the bag. she repeats this 50 times and records the results in the table above.
what is the experimental probability the molly will pull out the purple bead?

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.