# Odds of various games

Those of us who watch TV probably know that McDonald's has its Monopoly game going on right now.  Did you know that the odds of collecting the Boardwalk piece, one of the two pieces needed to win \$50,000 a year for 20 years without interest (a total of \$1 million), is 1 out of 651,841,628?

The Monopoly Millionaires Club game started in a lot of states today.  The odds of winning the top prize are 1 out of 72,770,880.  However, the cost of the ticket is \$5.  So the per dollar odds are 1 out of 363,854,400.

Meanwhile, Mega Millions, with a jackpot of \$200 million this Tuesday, has odds of 1 out of 258,890,850.

And Powerball, with a jackpot of \$110 million, has odds of 1 out of 175,223,510.  Considering the \$2 price of the ticket, the per dollar odds are 1 out of 350,447,020.

If you go to McDonald's anyway, that is fine.  But if you are going simply because of this Monopoly game, get your fast food elsewhere and buy a Mega Millions or Powerball ticket instead.  Your odds of winning these games are obviously better than winning \$1 million in the McDonald's Monopoly game.

Also, with the per dollar odds of Monopoly Millionaires Club being harder than Mega Millions or Powerball, if you are spending \$5 on the Lottery, you are better off spending that money on Mega Millions or Powerball instead.

do those odds on the monopoly millionaires game include the up to additional 16 1 million dollar prizes???

Those additional \$1 million prizes are won when there is a top prize winner.  The odds of somebody winning the top prize depend on the percentage of combinations played throughout the nation.

"The odds of winning the top prize are 1 out of 72,770,880.  However, the cost of the ticket is \$5.  So the per dollar odds are 1 out of 363,854,400."

There are 72,770,880 possible results so those are the odds against any one ticket (combination) winning the jackpot regardless if the ticket costs 50 cents or \$100. If each combination is sold, sales will be at least \$364 million, but the total possible combos will never exceed 73 million and the jackpot payoff will never exceed \$25 million.

"Considering the \$2 price of the ticket, the per dollar odds are 1 out of 350,447,020."

And again you're confusing the total combinations with the price of a ticket and the cost of buying all the combinations. We can't buy \$1 PB tickets or \$1 Monopoly tickets and the Monopoly jackpot payoff will never equal the odds against so it doesn't really matter how it's figured.

"Also, with the per dollar odds of Monopoly Millionaires Club being harder than Mega Millions or Powerball"

MM and PB odds are usually expressed by dividing the total possible outcomes by the number of tickets purchased so 10 MM tickets has odds of approximately a 1 in 25.9 million, 5 PB tickets has odds of 1 in 35 million, and 2 Monopoly tickets have odds of 36.4 million. It's OK to figure odds that way, but unless two or more MM or PB tickets are duplicates, only one of them can match the winning numbers. Buying 10 MM does in fact give 10 chances to win the jackpot, but by default 9 of those tickets can't win the jackpot and are part of the other 258,890,840 possible combinations that can't win the jackpot either.

If a pick-3 player bets \$2000 on one three digit number, they have odds of 1000 to 1 of winning \$1 million and 2000 MM tickets have odds of 9246 to 1 of winning \$1 million, speaking of "per dollar odds". A PB player has better odds of winning \$1 million with 2000 tickets than MM players, but still 5 times more than pick-3 players (1 in 5154). The number of Monopoly \$1 million prizes depends on ticket sales, but \$2000 worth of Monopoly tickets get 400 chances of winning one or more of the the minimum of 10 \$1 million prizes.

The Monopoly game is not intended to be another MM and/or PB game on steroids, but more chances for more players to win \$1 million.

"If a pick-3 player bets \$2000 on one three digit number, they have odds of 1000 to 1 of winning \$1 million ......."

If that's true, why aren't more pick3 players millionaires?

That is true and just a guess but there are probably over \$1900 reasons pick-3 players aren't millionaires. They also have odds of 1000 to 1 of winning \$250 when they make a 50 cent straight wager.