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

5,040
93,963,542,400

Final Answer


Odds = 1 in 18,643,560


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Common Core State Standards In This Lesson
HSS.MD.B.5.A
What is the Answer?
Odds = 1 in 18,643,560
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
Example calculations for the Lotto Drawing Probability Calculator
Lotto Drawing Probability Calculator Video

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