Calculate the lotto probability:
7 numbers out of 40
Lotto Draw #1:
7 ways to pick the winner
With 40 total choices
Lotto Draw #2:
6 ways to pick the winner
With 39 total choices
Lotto Draw #3:
5 ways to pick the winner
With 38 total choices
Lotto Draw #4:
4 ways to pick the winner
With 37 total choices
Lotto Draw #5:
3 ways to pick the winner
With 36 total choices
Lotto Draw #6:
2 ways to pick the winner
With 35 total choices
Lotto Draw #7:
1 way to pick the winner
With 34 total choices
Calculate probability:
Each drawing is independent
Product of Winners | |
Product of Total Choices |
7 x 6 x 5 x 4 x 3 x 2 x 1 | |
40 x 39 x 38 x 37 x 36 x 35 x 34 |
Final Answer
Odds = 1 in 18,643,560
Common Core State Standards In This Lesson
How does the Lotto Drawing Probability Calculator work?
Free Lotto Drawing Probability Calculator - Given a lotto drawing with a Pick(x) out of (y) total choices, this calculates the probability of winning that lottery picking all (x) correct numbers.
This calculator has 2 inputs.
What 1 formula is used for the Lotto Drawing Probability Calculator?
Ways to pick the winning number / Total Choices
What 4 concepts are covered in the Lotto Drawing Probability Calculator?
- lotto
- a lottery game similar to bingo
- lotto drawing probability
- odds
- The ratio of a payoff to a stake
- probability
- the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes