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# Probability versus odds

17 October 2012

Probability Versus Odds by John “Skinny”

This was posted by John “Skinny” on the Golden Touch Craps private members-only web site.

OK, let's get probability and odds squared away first. Essentially they are expressing the same thing but doing them in a slightly different manner. Odds are expressed as a relationship between an event occurring or not and probabilities are expressed as a ratio of possible events to total events. Probabilities by definition are therefore between 0 and 1 inclusively. They are commonly expressed as a fraction, decimal or percentage.

In other words if we look at an event that can occur. The odds of it occurring are expressed as the relation of the chance for it occurring to the chances against it occurring.

Odds = (Chances for):(Chances against)

The probability of it occurring is expressed as the ratio of the chances of it occurring to the total chances that can occur (the sum of those for and against).

Probability = (Chances for)/(Total Chances) where Total Chances equals the sum of Chances for and Chances against.

For example, getting a winning bet on the Iron Cross.

The odds are 30:6 or 30 to 6 which could be reduced to 5:1 or 5 to 1.

The probability of winning a bet with the Iron Cross would be 30/36, 5/6, .833 or 83 percent.

There is no conjecture or guessing in calculating the probability. It has the same degree of accuracy as the odds.

The odds of throwing a head with a single flip of a coin are 1:1 or 1 to 1. The probability of a head is 1/2, or .5 or 50 percent. The odds and probability are both taking the same data into consideration. They are both looking at the possibility of 1 event occurring out of 2 possible outcomes.

[This post appeared on the private, members-only Golden Touch website. Get a free 60-day subscription. Just e-mail Frank Scoblete at fscobe@optonline.net.]

posted by "Skinny"
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Frank Scoblete
Frank Scoblete is the #1 best selling gaming author in America. His newest books are Slots Conquest: How to Beat the Slot Machines; Everything Casino Poker: Get the Edge at Video Poker, Texas Hold'em, Omaha Hi-Lo and Pai Gow Poker!; Beat Blackjack Now: The Easiest Way to Get the Edge; Casino Craps: Shoot to Win!; Cutting Edge Craps: Advanced Strategies for Serious Players; Casino Conquest: Beat the Casinos at Their Own Games! and The Virgin Kiss.

Frank and Casino City Times columnist Jerry "Stickman" teach private lessons in dice control. Frank's books are available at Amazon.com, in bookstores or by mail order. Call 1-800-944-0406 or write to Frank Scoblete Enterprises, PO Box 446, Malverne, NY 11565. Frank can also be reached by email at fscobe@optonline.net.

#### Frank Scoblete Websites:

www.goldentouchcraps.com
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