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The Math of Betting

The concepts that separate winners from losers: implied probability, the vig, expected value, fair odds, and closing-line value. No advanced math required.

The Math of Betting — Key Questions Answered

What is implied probability?

It's the probability of winning that a set of betting odds represents. For decimal odds, it's simply 1 divided by the decimal price. A price of 2.00 implies a 50% chance.

What is the vig in betting?

The vig (or juice) is the margin a sportsbook builds into its odds. It's why both sides of a market add up to more than 100%, and it's the book's main source of profit.

What does +EV mean?

Positive expected value - a bet whose price is better than the true probability of winning justifies, so it profits on average over many repetitions even if it loses individual bets.

What are no-vig or fair odds?

The odds a market would offer with zero margin. You get them by removing the vig so the two sides' probabilities add up to exactly 100%, revealing the true implied probability.

What is closing line value?

CLV compares the odds you bet at to the final (closing) odds the market settles on. Beating the closing line consistently is the strongest indicator that you're making +EV bets.
The Sharp Wire Morning Steam7:00 AM ET • 3-Min Read
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