A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the
probability of winning any given prize is always 1/4.
Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a
simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in
that trial.
4
5
6
7
8
9
10 11 12 13 14 15
# of boxes purchased
Use her results to estimate the probability that it takes fewer than 7 boxes to get all 4 prizes.
Give your answer as either a fraction or a decimal.
P(fewer than 7 boxes) -

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.

step-by-step explanation:

step-by-step explanation: