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Math Basics

Probability vs. Odds: Two Ways of Saying the Same Thing

Why "1 in 10,000" and "9,999 to 1" describe the same chance, and which one to use.

Apollo AI Learn Team · · 5 min read

You'll see lottery chances written two ways. They describe the same thing, just from different angles.

Probability

Probability compares winning outcomes to all outcomes. A Pick 4 straight play has a probability of 1 in 10,000, or 0.01%.

Odds

Odds compare losing outcomes to winning ones. For the same Pick 4 play, the odds against winning are 9,999 to 1.

Game exampleProbabilityOdds against
Pick 3 straight1 in 1,000999 to 1
Pick 4 straight1 in 10,0009,999 to 1
5 of 39 top prize1 in 575,757575,756 to 1

Why it matters

Lotteries usually print "1 in X", which is probability. Either way, the number stays the same no matter how you choose your numbers.

Apollo AI's Insight Boards show past results clearly, but they don't move these numbers at all.

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