Calculate the lotto probability:
6 numbers out of 50
Lotto Draw #1:
6 ways to pick the winner
With 50 total choices
Lotto Draw #2:
5 ways to pick the winner
With 49 total choices
Lotto Draw #3:
4 ways to pick the winner
With 48 total choices
Lotto Draw #4:
3 ways to pick the winner
With 47 total choices
Lotto Draw #5:
2 ways to pick the winner
With 46 total choices
Lotto Draw #6:
1 way to pick the winner
With 45 total choices
Calculate probability:
Each drawing is independent
| Product of Winners | |
| Product of Total Choices |
| 6 x 5 x 4 x 3 x 2 x 1 | |
| 50 x 49 x 48 x 47 x 46 x 45 |
| 720 | |
| 11,441,304,000 |
Final Answer
Odds = 1 in 15,890,700
Common Core State Standards In This Lesson
HSS.MD.B.5.A
What is the Answer?
Odds = 1 in 15,890,700
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.
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
