This is an INDIVIDUAL Project!
Chances of Winning the
Harley Davidson Scratch Game 

Prize 
Chances 
$2 
1 in 10 
$3 
1 in 13.79 
$5 
1 in 30.77 
$10 
1 in 40 
$12 
1 in 100 
$20 
1 in 200 
$50 
1 in 727.27 
$100 
1 in 7,500 
$500 
1 in 59,294.12 
Motorcycle ($15,000) 
1 in 560,000 
$25,000 
1 in 1,028,160 
OVERALL 
1 in 4.06 
There were a total of 270 "scratches". The table below lists the students' winning results.
Winnings > 
2  3  5  10  12  20  50  100  500  15000  25000 
Name  
Student 1  1  0  0  1  0  0  0  1  2  0  0 
Student 2  1  1  1  0  0  0  0  1  0  1  0 
Student 3  0  0  0  0  0  0  0  1  0  0  0 
Student 4  3  1  0  0  0  0  3  0  0  1  0 
Student 5  1  1  0  0  0  0  0  0  0  1  0 
Student 6  0  2  0  2  0  1  0  0  0  0  2 
Student 7  0  1  0  1  0  1  2  1  1  0  0 
Student 8  3  0  0  0  0  0  0  0  0  1  0 
Student 9  3  0  1  1  0  0  1  0  0  0  3 
II) Probability
A lot of 50 items from a manufacturing process is know to contain 20 defective items and 30 nondefective. If a sample of 10 items is selected at random, what is the probability that:
a) the sample has 6 defective and 4 nondefective items?
b) the sample has no defective items?
c) the sample has at least one defective item?