What Is Implied Probability In Online Betting?

Posted by Eric Williams on Wednesday,March 29, 2017 4:45, EST in

The first thing you need to know about implied probability is that you don’t have to be a math whiz to figure it out, no matter how daunting the words may sound.

You see, the concept, which can be used in numerous genres from stocks and bonds to sports betting, is simply a conversion of traditional odds into a percentage that takes into account the ‘house edge and eliminates it to reveal the “true betting odds” of a particular event. Here’s an example.

A Closer Look At What Is Implied Probability In Online Betting?

 

 

If you and a pal flip a coin and both bet $100 on each flip. The implied probability of each side is $100/$200, or 50percent. By using the amount wagered and adding it to the amount won you get to a total of $200. Basically, this means that for each $100 you risk, you expect to get back 50percent of $200, or $100, which makes the implied probability 50-50.

Now let’s assume your friend gets paid $200 for every tails, while you still only get paid $100 for heads. Your implied probability remains the same, but your friend now has an implied probability of tails coming up is only $100/$300, or 33.3 percent. By adding the two probabilities, it totals 83.3 percent. Your friend now has a 16.6 percent edge over you in this bet (100percent minus the 83.33percent implied probability).

Implied Probability in Sports Betting

In sports betting, the house edge, or vig, means that the implied probability will always add up to over 100 percent. The amount over 100 percent is the bookie’s over round. This is their expected profit.

For example, let’s say you’re wagering on an NFL game and the odds are Miami -3.5 over Pittsburgh Steelers.

Miami -3.5 (-110)
Pittsburgh +3.5 (-110

If you bet $110 on Miami -3.5, you have a possible payout of $-110 for a loss or $210 for a win. If you bet $110 on Pittsburgh +3.5, you have a possible payout of $-110 for a loss or $210 for a win.

We only have these two possible outcomes. We take the amount we risk and divide it by the total payout to get the implied probability for each outcome:

Miami covers: $110/$210=.524 or 52.4 percent
Pittsburgh covers: $110/$210=.524 or 52.4 percent

If we add these two outcomes, we get 104.8percent. This means that if we bet both teams, we would need to risk $104.8 to get back $100. The bookies clearly have the edge here, in this case a 4.8percent house edge for each dollar wagered.

Implied probabilities will change for odds other than -110. Let’s say you’re wagering on this game. 

Philadelphia -190
Indanapolis +160

If you bet $190 on Philadelphia, we have a possible payout of $-190 for a loss or $290 for a win.

If we bet $100 on Indianapolis, we have a possible payout of $-100 for a loss or $260 for a win.

If we ignore pushes, we only have these two possible outcomes. Again we take the amount we risk and divide it by the total payout to get the implied probability for each outcome:

Philadelphia wins: $190/$290=.655 or 65.5percent
Indianapolis wins: $100/$260=.385 or 38.5percent

If we add these two outcomes, we get 104percent. Again, if we bet both teams, we automatically lose, this time $4 for every $100 wagered in the long run. This extra juice is the bookie’s edge. Implied probability can also be used on sports betting futures odds.

For instance, let’s say you want to wager on the World Cup Soccer tournament and you see these odds.

Brazil +400
Germany +800
Argentina +900
Italy +1050
USA +3500
Field +100

Here is the implied probability of each team winning. Remember, you must divide the amount risked by the total payout to get the implied probability percentage.

Brazil: 100/500=.2 or 20percent
Germany: 100/900=.111 or 11.11percent
Argentina: 100/1000=.1 or 10percent
Italy: 100/1150=.087 or 8.7percent
USA: 100/3600=.028 or 2.8percent
Field: 100/200=.5 or 50percent

Adding all these percentages, we come up with 102.61 percent, meaning the house has a 2.61 percent edge.

In the end, implied probability can definitely be useful in virtually every aspect of sports betting whether you’re a ‘numbers bettor or more of a ‘feel’ betting enthusiast.