Lotto America: Official Guide, Rules, Odds & How to Play
Odds to win Lotto America jackpot
Winning selections | Odds | Prize |
---|---|---|
Match 5 numbers + Star Ball | 1 in 25,989,600 | Jackpot! |
Match 5 main numbers | 1 in 2,887,733.33 | $20,000 |
Match 4 numbers + Star Ball | 1 in 110,594.04 | $1,000 |
Match 4 main numbers | 1 in 12,288.23 | $100 |
Match 3 numbers + Star Ball | 1 in 2,404.22 | $20 |
Match 3 main numbers | 1 in 267.14 | $5 |
Match 2 numbers + Star Ball | 1 in 160.28 | $5 |
Match 1 number + Star Ball | 1 in 29.14 | $2 |
Match the Star Ball | 1 in 16.94 | $2 |
Overall odds of winning a prize are 1 in 9.63
Lotto America drawings take place every Wednesday and Saturday evening at 23:00 ET. Tickets cost $1.00 per play. Players may pick six numbers from two separate pools of numbers - five different numbers (white balls) from 1 to 52 and one number (yellow ball) from 1 to 10. You win the jackpot by matching all six winning numbers in a drawing. Lotto America's Grand Prize starts at $2 million and increases by a minimum of $50,000 per draw until it is won.
Participating States
Lotto America tickets are available in 15 states (Delaware, Idaho, Iowa, Kansas, Maine, Minnesota, Mississippi, Montana, Nebraska, New Mexico, North Dakota, Oklahoma, South Dakota, Tennessee and West Virginia), making it one of the most widely played games in the country. The large pool of players means the game can offer more impressive prizes than individual state lotteries.
Winning VS Losing Combinations
Did you know that after each Lotto America draw, there will be exactly:
Winning Combinations: 2,621,386 (10.1%)
Losing Combinations: 23,368,214 (89.9%)
Winning Probability Calculations
In the USA Lotto America, you have to pick 5 numbers from 1 to 52 and 1 Star Ball from 1 to 10. To win the smallest prize, you need to match either the Star Ball number or at least 3 main numbers and no Star Ball. The number of combinations that will always win any prize after each draw is calculated as follows:
Total Number of Combinations
The total number of ways to choose 5 main numbers from 52 and 1 Star Ball from 10 is given by:
\( \binom{52}{5} \times \binom{10}{1} = \frac{52!}{5!(52-5)!} \times 10 = 2,598,960 \times 10 = 25,989,600 \)
Winning Combinations
To find out how many combinations win any prize, we calculate the number of ways to match either the Star Ball or at least 3 main numbers and no Star Ball:
Matching the Star Ball
The number of ways to pick 5 main numbers from 52 and exactly the Star Ball is:
\( \binom{52}{5} \times \binom{10}{1} = 2,598,960 \)
Matching At Least 3 Main Numbers and No Star Ball
The number of ways to match exactly 3, 4, or 5 main numbers and no Star Ball:
\( 22,100 + 325 + 1 = 22,426 \)
Total Winning Combinations
Summing up all these winning combinations:
\( 2,598,960 + 22,426 = 2,621,386 \)
Non-Winning Combinations
The number of non-winning combinations is given by:
\( \text{Total Combinations} - \text{Winning Combinations} = 25,989,600 - 2,621,386 = 23,368,214 \)
Conclusion
Therefore, there are 2,621,386 combinations that will always win any prize after each draw in the USA Lotto America lottery.