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In making a bet where the expected value is positive, one is said to be getting "the best of it". For example, if one were to bet $1 at 10 to 1 odds (one could win $10) on the outcome of a coin flip, one would be getting "the best of it" and should always make the bet (assuming a rational and risk-neutral attitude with linear utility curves and have no preferences implying loss aversion or the ...
Thus if expressed as a fraction with a numerator of 1, probability and odds differ by exactly 1 in the denominator: a probability of 1 in 100 (1/100 = 1%) is the same as odds of 1 to 99 (1/99 = 0.0101... = 0. 01), while odds of 1 to 100 (1/100 = 0.01) is the same as a probability of 1 in 101 (1/101 = 0.00990099... = 0. 0099). This is a minor ...
Spread betting allows gamblers to wager on the outcome of an event where the pay-off is based on the accuracy of the wager, rather than a simple "win or lose" outcome. For example, a wager can be based on the when a point is scored in the game in minutes and each minute away from the prediction increases or reduces the payout.
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The final prediction by FiveThirtyEight on the morning of election day (November 8, 2016) had Hillary Clinton with a 71% chance to win the 2016 United States presidential election, [69] while other major forecasters had predicted Clinton to win with at least an 85% to 99% probability.
Example of the optimal Kelly betting fraction, versus expected return of other fractional bets. In probability theory, the Kelly criterion (or Kelly strategy or Kelly bet) is a formula for sizing a sequence of bets by maximizing the long-term expected value of the logarithm of wealth, which is equivalent to maximizing the long-term expected geometric growth rate.
The positive predictive value (PPV), or precision, is defined as = + = where a "true positive" is the event that the test makes a positive prediction, and the subject has a positive result under the gold standard, and a "false positive" is the event that the test makes a positive prediction, and the subject has a negative result under the gold standard.
Ignoring national trends, Clinton has a 99.9% chance of winning here. Two electoral votes in this state are allocated at the district level. We use Cook Political Report ratings for those: solidly Democrat and leaning Republican.