Have the computer play pick6 many times and determine net balance.
Initially the program will pick 6 random numbers as the 'winner'. Then try playing pick6 100,000 times, with the ticket cost and payoff below.
A ticket contains 6 numbers, 1 to 99, and the number of matches between the ticket and the winning numbers determines the payoff. Order matters, if the winning numbers are [5, 10] and your ticket numbers are [10, 5] you have 0 matches. If the winning numbers are [5, 10, 2] and your ticket numbers are [10, 5, 2], you have 1 match. Calculate your net winnings (the sum of all expenses and earnings).
- a ticket costs $2
- if 1 number matches, you win $4
- if 2 numbers match, you win $7
- if 3 numbers match, you win $100
- if 4 numbers match, you win $50,000
- if 5 numbers match, you win $1,000,000
- if 6 numbers match, you win $25,000,000
Write the following functions and use them in the code:
pick6(): Generate a list of 6 random numbers, which can then be used for both the winning numbers and tickets. Return the listnum_matches(winning, ticket): Return the number of matches between the winning numbers and the ticket.
- Generate a list of 6 random numbers representing the winning tickets
- Start your balance at 0
- Loop 100,000 times, for each loop:
- Generate a list of 6 random numbers representing the ticket
- Subtract 2 from your balance (you bought a ticket)
- Find how many numbers match
- Add to your balance the winnings from your matches
- After the loop, print the final balance
The ROI (return on investment) is defined as (earnings - expenses)/expenses. Calculate your ROI, print it out along with your earnings and expenses.