# Need help with assignment This assignment involves simulating a lottery drawing. In this type of lottery…

Need help with assignment
This assignment involves simulating a lottery drawing. In this
type of lottery game, the player picks a set of numbers. A random
drawing of numbers is then made, and the player wins if his/her
chosen numbers match the drawn numbers (disregarding the order of
the numbers).
More specifically, a player picks k distinct numbers between 1
and n (inclusive), as well as one bonus number between 1 and m
(inclusive). “Distinct” means that none of the first k numbers may
be repeated. However, the bonus number may or may not coincide with
one of the k distinct numbers. The k distinct numbers as well as
the bonus number must match the drawn values for the player to win
the jackpot.
The TN Lottery’s Powerball game is a good example of this type
of lottery. In this game, a player picks five numbers between 1 and
59, inclusive, and one “Powerball number” between 1 and 35,
inclusive. Here, the number of possible lottery tickets is:
{(59 x 58 x 57 x 56 x 55) / (5 x 4 x 3 x 2 x 1)} x 35 =
175,223,510
A single ticket’s chance of winning the jackpot is then
1/175,223,510, which is about 0.0000000057. To put that probability
in perspective, suppose you were to sell your Harbor Town mansion
for \$600,000 and use the proceeds to buy Powerball tickets. Since
tickets cost \$2 each, \$600,000 will buy you 300,000 tickets. Even
with that many, your chance of winning the jackpot is still a
miserably low 0.0017 – less than two tenths of one percent. Makes
In general, for this type of lottery drawing the number of
possible tickets is:
[{n x (n – 1) x (n – 2) x … x(n – k + 1)}/ {k x (k – 1) x (k –
2) x … x 3 x 2 x 1}] x m
The Assignment
Write a Java program to simulate a lottery drawing. Your program
should allow the user to enter values for k, n, and m above. Then,
ask the user to enter the numbers that s/he wishes to play (this is
k distinct numbers into an array, but keep the bonus number
separate.
The program should compute and display the probability of
winning the jackpot for the selected game. Then, it should randomly
“draw” the winning numbers and determine if the user-entered
numbers match. Keep in mind that the matching for the k distinct
values should disregard the order of the numbers. The winning
numbers should be shown, along with an appropriate message
indicating whether or not the user won the jackpot. Allow the user
to play as many games as s/he wants.
Error Checking
Implement error checking on all user inputs, to the extent we’ve
discussed it in class (don’t worry about data type mismatches).
Error checking should repeatedly prompt for the input until the
user enters a valid value. For example, the user should not be able
to enter negative inputs. The user input should also be checked to
see that it matches the entered values for n and m – for example,
in a game where n = 59, the user should not be able to pick 60 for
his/her ticket. Also make sure that you’re checking for distinct
inputs when the player chooses numbers – a player shouldn’t be able
to pick the same number more than once (with the exception of the
bonus number).
Code Organization
Your program should use methods to break the code down into
manageable chunks. At minimum, include the following methods
(although you are welcome to add more if you want).
// Returns the probability of winning the jackpot in a lottery
drawing with the
// specified parameters.
public static double jackpotChance(int k, int n, int m)
// Allows the user to enter k distinct integers between 1 and n.
Must include
// error checking to ensure that each entered number is within the
valid range and
// does not coincide with any previously entered number. Returns an
array of
// the entered numbers.
public static int[] enterNumbers(int k, int n)
// Makes the computer draw k distinct random integers between 1
and n. Returns an // array of the drawn numbers.
public static int[] drawNumbers(int k, int n)
// Returns whether the two arrays a and b contain the same
elements, without
// regard to order. For example, if a = {1, 4, 3, 2} and b = {1, 2,
3, 4},
// this method should return true.
public static boolean containSameElements(int[] a, int[] b)