Lottery Odds & Probability Explained

Understanding Lottery Odds

When people talk about lottery odds, they mean the probability of a specific outcome occurring. The odds are calculated using combinatorics — the mathematical study of counting and arrangement. Every number combination has an equal chance of being drawn.

SA Lotto Odds

SA Lotto uses 6 numbers from a pool of 52. The total number of possible combinations is:

C(52,6) = 52! / (6! × 46!) = 20,358,520

That means there are over 20 million unique combinations, and each draw randomly selects one. Your odds of matching all 6 numbers are 1 in 20,358,520.

The odds improve significantly for lower prize divisions. The two headline figures for the current 6-from-52 format:

• Match 6: 1 in 20,358,520
• Match 5 + Bonus Ball: 1 in 3,393,087

The exact lower-division odds are published division-by-division by the operator, Sizekhaya, on the official National Lottery site and vary with the prize structure. Use the headline figures above for quick comparisons.

PowerBall Odds

PowerBall adds a second number pool. You pick 5 from 1–50 plus 1 PowerBall from 1–16. Since 1 June 2026 the PowerBall range is 1–16 (previously 1–20), which shortened the jackpot odds from about 1 in 42.4 million to:

• Match 5 + PowerBall: 1 in 33,900,160
• Match 5 (no PowerBall): 1 in 2,118,760
• Matching the PowerBall alone: about 1 in 28

Per-division payouts are pari-mutuel, so the official division-by-division odds are published by Sizekhaya after each draw cycle.

Daily Lotto Odds

With only 36 numbers and 5 to pick, Daily Lotto has the best odds of any SA game:

C(36,5) = 376,992

• Match 5: 1 in 376,992
• Match 4: 1 in 1,538
• Match 3: 1 in 44
• Match 2: 1 in 8

Because the prize fund must be won each draw, the expected value per ticket is higher than jackpot games where prizes can roll over indefinitely.

Odds Comparison Table

Discontinued since 1 June 2026: Lotto Plus 2 (replaced by Lotto 5 Max), PowerBall Plus (replaced by PowerBall XTRA) and Daily Lotto Plus (no replacement). They share the same odds as the games that replaced them. See our guide to the 2026 lottery changes.

Common Probability Myths

"This number is overdue"

Every number has the same probability of being drawn in every single draw, regardless of how long it has been since it last appeared. The lottery has no memory. A number that has not appeared in 100 draws is no more or less likely to appear than one drawn last time.

"I can predict patterns"

Lottery numbers are generated by certified random number generators. Patterns like consecutive numbers, alternating high/low, or "hot streaks" appear by chance. They have no predictive power.

"Buying more tickets guarantees a win"

Buying more tickets does improve your odds proportionally, but the base odds are so long that even buying 100 tickets for PowerBall changes your odds from 1 in 33.9 million to roughly 1 in 339,002. Still extremely unlikely.

"Lotto Plus 2 and PowerBall Plus still exist"

Both were discontinued on 1 June 2026. Lotto 5 Max replaced Lotto Plus 2, and PowerBall XTRA replaced PowerBall Plus — the new operator, Sizekhaya, retired the old add-on draws alongside the format changes.

The Math Behind Expected Value

Expected value tells you how much, on average, you can expect to win or lose per ticket over the long run. In every lottery game, the expected value of a ticket is negative — typically you lose R0.50 to R3 for every R5 spent. This is how lotteries fund prizes and operations. Playing is entertainment, not investment.