What Does 3 1 Odds Mean
To be 'at odds' means being in some sort of disagreement or conflict. For example, a person may say this when he means statistics are in contradiction with his research or that his wants are in conflict with his needs. Sometimes people are even at odds with each other. For instance, a husband may feel at odds with his wife over the family grocery shopping budget. This phrase is an idiom, which means people are not supposed to take it literally; they are instead supposed to understand the figurative meaning of the phrase, which is in conflict or contradiction.
I really don't understand any sentence that has the word 'odds'. What does someone mean when they say 'what are the odds' and 'the odds are high' or 'what are the odds of your parachute not opening'.
Often, people use idioms because they allow for a more colorful way of speaking. Such phrases spice up language that may at times seem monotonous or even dull. The commonly used phrase 'at odds' is an idiom and provides an interesting way of indicating conflict, disagreement, and contradiction. Idioms such as this one are often used in verbal speech, but some people use them in written works as well.
It often helps to consider examples when trying to understand the meaning of the phrase 'at odds.' One good example to consider involves statistics and research findings. A scientist, for example, may state that his research findings are at odds with the science world's currently accepted statistics. He may also use this phrase to state that his findings are in conflict with those of another scientist.
Definition of Odds in the Definitions.net dictionary. Meaning of Odds. What does Odds mean? Information and translations of Odds in the most comprehensive dictionary definitions resource on the web. If you bet on sporting events, you must be able to read odds and understand what they mean. Furthermore, you need to quickly calculate the potential winnings for different bets, especially if the. Meaning of Ra - What does Ra mean? Read the name meaning, origin, pronunciation, and popularity of the baby name Ra for boys. What does S3 stand for? See all explanations right away.
Sometimes the phrase 'at odds' is used to indicate conflict between people. For example, spouses may feel in conflict or disagreement with each other when it comes to budgeting or deciding who is responsible for certain household tasks. Coworkers may sometimes feel in conflict with each other as well. For example, team members may disagree with each other when it comes to deciding how to proceed with a project for which they are both responsible.
In some cases, people may even state that inanimate objects are at odds with each other. For example, an individual may state that a carpet is in conflict with a sofa. In such a case, this might mean that the sofa does not coordinate well with the couch in terms of its size, style, color, or current position in a room. Likewise, an individual may use this phrase to state that a person's outfit is in conflict with his body type, which usually means his clothing choice is not well suited to his body size or shape.
Odds, Probability, Chance, Risks: Interchangeable?Not so much.
What does it mean to say “smokers are X times more likely to get lung cancer than non-smokers?” What about when the weather channel says, “there is a 10% chance of rain?” The odds of 1 to 10 of winning?
These words are often used in casual conversations as somewhat interchangeable, and can be rather confusing. I remember being very excited to learn about them for the first time, so hopefully you will find this as interesting (or at least as clarifying!) as I did!
A little test!
In which of the following scenario are you most likely to find dessert happiness?
Which ones are saying the same thing?
A. The odds against you eating a cupcake are 1 to 5.
B. Your odds of/on eating a cupcake are 1 to 5.
C. The probability of you eating a cupcake is 20%.
D. You have a 20% chance of eating a cupcake.
Answers, in short: A is the most likely-for-cupcake scenario, and C and D are saying the same thing.
Click here for the long answer!
The differences between odds and probability lies in their ranges and denominators.
Ranges
Odds are bound between 0 and positive infinity.
That is, you can have the odds of 0:100 (not gonna happen), or 10000:1 (10-thousand times more likely to happen than not). There are no negative odds.
Probability is bound between 0 and 1.
That is, when probability = 0, an event is impossible; when probability =1, it is definite. There is no negative probability, and no 120% probability of happening (sorry!).
Denominators in formulae
Odds: Happening ÷ Not Happening
Probability: Happening ÷ (Happening + Not Happening)
Note
Note that the odds for X and odds against X are reciprocals of each other (1/3 is the reciprocal for 3/1), whereas for probabilities, the probability of X and the probability of not X are complements of each other. (Thank you, Jeff K. Bye, for contributing this note for clarification!)
For example, there are 4 cats in the hat. 1 is orange, and 3 are brown.
Odds of Orange Cats
1 orange to 3 brown. This can be written as 1:3, or 1/3, or 1-3
“The odds of/on pulling an orange cat out of the hat are 1 to 3.”
“The odds against pulling an orange cat are 3 to 1.”
Probability of Orange Cats [often written as P(Orange Cat)]
1 orange ÷ (1 orange + 3 brown) = 1 orange ÷ 4 total cats = 1/4 = .25 = 25%
“The probability of pulling an orange cat out of the hat is 25%.”
or “There is a 25% chance of pulling an orange cat out of the hat.”
or “There is a 1 in 4 chance of pulling an orange cat out of the hat.”
Converting between odds and probability
Converting Odds to Probability:
Simply add the 2 components of the odds together to make a new denominator, and use the old numerator.
e.g. If the odds are 3:5, or 3 to 5, the probability is 3 ÷ (3+5) = 3/8 = 37.5%
Converting Probability to Odds:
Take the probability, and divide it by its compliment = (1-itself).
e.g. If the probability is .4, or 40%, the odds are .4 ÷ (1-.4) = .4 ÷.6 = 67%, or 4:6.
Taking a little Risks in Probability: Risk Ratios
What Does 1 In 3 Odds Mean
When they say things like “smokers are X times more likely to get lung cancer than non-smokers,” they are utilising Risk Ratios.
Risk ratio is the ratio of two probabilities:
For example, the relative risk of being hungover today, associated with being a Seahawks fan would be
Risk Ratio is often expressed as a factor and a whole positive number, such as “… is 20 times more likely…”
The difference between odds ratio and risk ratio
While Risk Ratio is the probability of one thing divided by the probability of another (usually in a separated group), Odds Ratio is the odds of one event happening divided by the odds of another.
Back to the Superbowl example, the relative odds of being hungover today, associated with being a Seahawks fan would be
Test, revisited!
A. The odds against you eating a cupcake are 1 to 5.
These are your best odds (5:1)! You are 5 times more likely to eat cupcake than not!
P(cupcake) = 5 ÷ (5+1) = 5/6 = 83.3%
What Do 3/1 Odds Mean
B. Your odds of/on eating a cupcake are 1 to 5.
Your odds are much sadder. Though interesting thing is, that B and A adds up to 100%, because they are counterparts to a whole.
P(cupcake) = 1 ÷ (5+1) = 1/6 = 16.7%
C. The probability of you eating a cupcake is 20%.
Odds are .2/(1-.2) = .2/.8 = .25, or 1:4.
Still better odds than B.
D. You have a 20% chance of eating a cupcake.
This (most likely*) says the same thing as C.
3-1 Odds Explained
*This is the caveat. Sometimes people say chance interchangeably with odds, also. The chance (ha!) of this occurring is very rare in scientific literature though. It is most often use in casual conversation to imply an imprecise probability, as the previous sentence demonstrated!
Acknowledgements
What Does 3-1 Odds Mean In Betting
Thank you, Jordan Essoe, for helping brainstorm the title. Thank you, Jordan and Joshua Essoe, for helping me discern which of terminology are un/familiar to the public. Thank you, Jeff K. Bye, for statistical advises!