Mega Millions Calculator – Loan calculator

Mega Millions Odds Calculator

Use this calculator to determine your odds of winning various Mega Millions prizes based on the number of tickets you purchase. Mega Millions requires you to pick 5 white balls from a pool of 70 and 1 gold Mega Ball from a pool of 25.

Number of Tickets Purchased:

Your Odds of Winning:

Prize Tier	Odds (1 in X)
Match 5 White + Mega Ball (Grand Prize)	1 in 302,575,350
Match 5 White only ($1,000,000)	1 in 12,607,306.25
Match 4 White + Mega Ball ($10,000)	1 in 931,001.08
Match 4 White only ($500)	1 in 38,791.71
Match 3 White + Mega Ball ($200)	1 in 14,546.99
Match 3 White only ($10)	1 in 606.11
Match 2 White + Mega Ball ($10)	1 in 692.69
Match 1 White + Mega Ball ($4)	1 in 89.37
Match 0 White + Mega Ball ($2)	1 in 36.63
Overall Odds of Winning Any Prize	1 in 23.99

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Understanding Mega Millions Odds

Mega Millions is one of the most popular multi-state lottery games in the United States, known for its often massive jackpots. To play, you select five numbers from a set of 70 white balls and one number from a set of 25 gold Mega Balls. Matching all six numbers wins you the Grand Prize.

How Mega Millions Odds Are Calculated

The odds of winning Mega Millions are determined by the principles of combinatorics, specifically combinations. The formula for combinations (C(n, k)) calculates the number of ways to choose 'k' items from a set of 'n' items without regard to the order of selection. For Mega Millions:

White Balls: You need to match 5 white balls drawn from a pool of 70. The number of ways to choose 5 white balls from 70 is C(70, 5) = 12,103,014.
Mega Ball: You need to match 1 Mega Ball drawn from a pool of 25. The number of ways to choose 1 Mega Ball from 25 is C(25, 1) = 25.

To find the total number of unique combinations for the Grand Prize, you multiply these two values: 12,103,014 * 25 = 302,575,350. This means there are over 302 million possible combinations, and only one of them will win the jackpot.

Prize Tiers and Their Odds

Mega Millions offers nine different prize tiers, each with its own set of odds. These odds are calculated by determining the number of ways to achieve a specific match (e.g., 4 white balls and the Mega Ball) and dividing that by the total possible combinations. The more numbers you match, the higher the prize, but the lower your odds.

Grand Prize (Match 5 White + Mega Ball): The most challenging prize to win, with odds of 1 in 302,575,350.
Match 5 White only: This wins a significant $1,000,000 prize, with odds of 1 in 12,607,306.25.
Lower Tiers: Prizes range from $2 for matching just the Mega Ball to $10,000 for matching 4 white balls and the Mega Ball. The overall odds of winning any prize are approximately 1 in 24.

How Our Calculator Works

Our Mega Millions Odds Calculator simplifies this complex probability for you. Simply enter the number of tickets you plan to purchase, and the calculator will instantly display your adjusted odds for each prize tier. For example:

If you buy 1 ticket, your odds of winning the Grand Prize are 1 in 302,575,350.
If you buy 10 tickets, your odds improve to 1 in 30,257,535 (10 times better).
If you buy 100 tickets, your odds become 1 in 3,025,753.50.

While buying more tickets increases your chances, it's important to remember that even with many tickets, the odds of winning the jackpot remain astronomically low. The calculator provides a realistic perspective on your probability of success.

Important Considerations

Lottery games are designed for entertainment, and the odds of winning large prizes are always very small. Play responsibly and within your means. This calculator provides theoretical odds and does not guarantee any outcome.