# Lottery Probability Calculator

**Created By :** Vaibhavi Kumari

**Reviewed By :** Phani Ponnapalli

**Last Updated :** Mar 24, 2023

Take the advantage of Lottery Probability Calculator to find the chances of winning the lottery. To know the winning probability of the lottery number, just give the required input details and hit the calculate button.

### How to Calculate the Probability of Winning the Lottery ?

Have a look at the detailed explanation to calculate the lottery probability for any given number.

- Firstly, get the number of balls to be drawn, number of matches and number of balls in pool.
- Apply, the lottery formula.
- Substitute the values in the formula and perform math operations.
- Finally, you will get the answer.

### Lottery Formula

Here we are giving the lottery formula that helps to find the winning chances of the lottery.

**Lottery = C(n,r) / [C(r,m) * C(n-r, r-m)]**

Where,

m is the number of balls to be drawn

n is the number of matches

r is the number of balls in pool

**Question:**

If we have 28 balls in a pool and from that 20 balls are drawn from 15 matches. Find the chances of winning the lottery?

Solution:

Given that,

r = 28

n = 30

m = 20

Use the Lottery formula

**Lottery = C(n,r) / [C(r,m) * C(n-r, r-m)]**

Lottery = C(30,28) / [C(28,20) * C(30-28,28-20)]

Lottery = 3108105

Stay tuned our website Probabilitycalculatorguru to get the quick results on more calculators related to the concept of probability.

### FAQ's on Lottery Odds Calculator

**1. Is it possible to calculate lottery numbers?**

The only assumption to calculate lottery probability is each number in the lottery has an equal probability of being chosen as the winning number. Actually, there is no tool that predicts the exact winning lottery number.

**2. How to calculate the probability of winning the lottery?**

To find the odds of winning any lottery, divide the number of winning lottery numbers by the total number of possible lottery numbers. You can also use the lottery formula to calculate the probability of winning a lottery.

**3. How to find probability?**

To find the probability of an event, you have to know the total number of possible outcomes that can occur. Divide the number of events by the total number of possible outcomes to get the probability value.

**4. What is the lottery formula?**

The formula to calculate lottery odds is x = C(n,r) / [C(r,m) * C(n-r, r-m)]. Where n is the number of balls in the pool, r is the number of balls to be drawn and m is the expected number of matches.