Posted: August 6th, 2022

Lottery games statistics | Statistics homework help

Lottery games are very popular, but what are the actual probabilities that a ticket purchased is going to win? Calculate the probability of winning some of the more popular games.

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper
  • A game that draws 3 digits from 0-9 from three separate machines.
    • What is the probability of winning a “straight” bet by matching the three digits in the exact order?
    • What is the probability of winning a “box” bet by matching the three digits in any order?
    • What is the probability of not matching any numbers on a ticket?
  • A game that draws 4 digits from 0-9 from four separate machines.
    • What is the probability of winning a “straight” bet by matching the four digits in the exact order?
    • What is the probability of winning a “box” bet by matching the four digits in any order?
    • What is the probability of not matching any numbers on a ticket?
  • A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and not replaced.
    • What is the probability of winning the jackpot by matching all 5 numbers?
    • What is the probability of winning a major prize by matching 4 of the 5 numbers? Make the calculation assuming the first 4 values are matched and the fifth one does not.
    • What is the probability of not matching any numbers on a ticket?
  • A super-mega-jackpot game that draws 6 numbers from 1 – 70 from a single machine and then a Super-Mega-Match ball numbered 1 – 30 from a separate machine.
    • What is the probability of winning the Super-Mega jackpot by matching all six numbers and the Super-Mega-Match ball?
    • What is the probability of winning the jackpot by matching all six numbers, but not matching the Super-Mega-Match ball?
    • What is the probability of not matching any numbers on a ticket.
  • State run lottery games tend to pay out 50% of what the odds against winning are, rounded up. For instance, if the odds against winning in a game are 499 : 1, the lottery game will pay $250 for a winning $1 ticket. This is how the lottery raises money for the state. Complete the table below with predicted payout values for winning $1 bets using this formula.

3-Digit Drawing

4-Digit Drawing

5-Number Drawing

Super-Mega Drawing

Save Time On Research and Writing
Hire a Pro to Write You a 100% Plagiarism-Free Paper.
Get My Paper

Straight win:

Straight win:

Match 5:

Super-Mega Jacpot

Boxed win:

Boxed win:

Match 4:

Jackpot:

Show all work and express the probabilities as both fractions and decimal values. Use scientific notation where appropriate.

Expert paper writers are just a few clicks away

Place an order in 3 easy steps. Takes less than 5 mins.

Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
$0.00
Open chat
1
Order through WhatsApp!
affordablepaperwritings.com
Hello!
You Can Now Place your Order through WhatsApp

Order your essay today and save 30% with the discount code DISCOUNTS2022