What are my chances of winning the lottery?

The probability of winning the lottery varies depending on the rules of the specific lottery, but I will explain using the example of South Korea's Lotto 6/45.

🎉Probability calculation of Lotto 6/45

Lotto 6/45 is a method of selecting **6 numbers** out of 1 to 45. The probability of winning is calculated using **combinations**.

 

#### **Probability Formula**

Total number of combinations = \(\binom{45}{6} = \frac{45!}{6!(45-6)!}\)

 

Total number of combinations

- \( 45! \) represents the product of all numbers from 45 down to 1.

- Calculating this results in 8,145,060 combinations.

 

Therefore, the probability of winning first place:

\[ \frac{1}{8,145,060} \approx 0.0000123\% \]

(Approximately 1 in 8.14 million)

 

🎉Probability by winning rank (based on Lotto 6/45)

| Rank | Number of Correct Answers | Bonus Number | Winning Probability |

|-------|-----------|------------------|--------------------------------|

| 1st place | 6 items | None | 1 / 8,145,060 |

| 2nd | 5 items | 1 item | 1 / 1,357,510 |

| 3rd place | 5 items | None | 1 / 35,724 |

| 4th | 4 items | None | 1 / 733 |

| 5th | 3 items | None | 1 / 45 |

 

Comparison to understand the probability of winning the lottery

The probability of 1 in 8.14 million is similar to the following:

- Probability of being struck by lightning: approximately 1 in 1,350,000

Probability of experiencing an airplane crash: approximately 1 in 11 million

 

🎉Reference

- Lotto is a **probability game**, and winning depends on luck.

Even if you purchase consistently, your chances of winning do not significantly increase.

It is recommended to enjoy small amounts for fun.