Maria spins a penny 100 times and it lands head side up 62 times. explain why maria's experimental probability may be different from the theoretical probability of spinning a coin.

Usually the theoretical probability is a carefully calculated guess of what will happen during each trial. While as the experimental probability is what actually happens during each trial, and it is usually based purely on chance and often doesn't match exactly with the calculated guess.

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.