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"Probability" =

the chance that an event either will or won't happen. Every event either

will or won't happen, so the sum of the two chances is ' 1 '.

"Odds" =

the ratio of the (probability that it will happen) to the (probability that it won't).

-- If (happening) and (not-happening) are equally likely, then each probability

is 0.5, and odds are 0.5/0.5 = 1 .

-- If (happening) is more likely than (not-happening) then probability of happening

is more than 0.5, and probability of not-happening is less than 0.5.

Their sum is still ' 1 ', because there is a 100% chance that the event will either happen

or not happen.

But the odds are now (more than 0.5)/(less than 0.5) = more than 1 .

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Q: Why is the probability of an event cannot be greater than 1 while the odds of an event be greater than one?
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Why is the probability of an event always a number between 0 and 1?

The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.


Everything is possible but not everything is probable?

From a probability standpoint this is not a true statement. Probability can be equal to zero for an event, indicating that it is impossible. The difference between 'impossible' and 'improbable' from a probability standpoint is that an impossible event has a probability of 0 while an improbable event has a very, very small probability.


How does probability differ from actuality?

Probability is the chance of some outcome while actuality is the realistic chance and actual outcome of an event.


What is probability how you use or solve probability?

Probability is the chance (in percentage or decimal) of a particular event to happen. lets say that you tossed a coin. the possible events to happen are ending up with heads or tails. the probability of having a head is 50% or .5 while the probability of having a tails is 50% or .5. to solve for the probability, divide the particular event with the total number of possible events. ex. what is the probability of getting a 3 when you rolled a dice? particular event= having a 3= 1 event total number of events= having either a 1, 2, 3, 4, 5, or 6= 6 events particular event/ total number of events= 1/6 hoped i helped!


Are mutually exclusive events also complementary events?

Not necessarily. The probability of a complementary event with probability p is 1-p. Two mutually exclusive events, however, don't necessarily add up to a probability of 1. For example, the probability of drawing a King from a standard deck of cards is 1 in 13, which the complementary probability of not drawing a King is 12 in 13. The probability, however, of drawing a Heart is 1 in 4, while the probability of drawing a Club is also 1 in 4. That leaves Diamonds and Spades, which account for the remaining probability of 2 in 4.

Related questions

Why is the probability of an event always a number between 0 and 1?

The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.


Everything is possible but not everything is probable?

From a probability standpoint this is not a true statement. Probability can be equal to zero for an event, indicating that it is impossible. The difference between 'impossible' and 'improbable' from a probability standpoint is that an impossible event has a probability of 0 while an improbable event has a very, very small probability.


How does probability differ from actuality?

Probability is the chance of some outcome while actuality is the realistic chance and actual outcome of an event.


What is probability how you use or solve probability?

Probability is the chance (in percentage or decimal) of a particular event to happen. lets say that you tossed a coin. the possible events to happen are ending up with heads or tails. the probability of having a head is 50% or .5 while the probability of having a tails is 50% or .5. to solve for the probability, divide the particular event with the total number of possible events. ex. what is the probability of getting a 3 when you rolled a dice? particular event= having a 3= 1 event total number of events= having either a 1, 2, 3, 4, 5, or 6= 6 events particular event/ total number of events= 1/6 hoped i helped!


What is the difference between expecting and looking forward to?

They are practically synonyms, but expecting is knowing a certain probability of an event occurring, while looking forward to is having affect toward an event occurring.


Can you catch Deoxys in firered without a GameShark?

Unfortunately, you cannot catch Deoxys without the Nintendo Event. This event has been over for a while.


How do you get the probability of 0?

The simplest way to get a probability of zero is to have an impossible event. For example, with a die (that's the singular of "dice") that has the numbers 1-6, getting each of these numbers has a probability of 1/6; getting the number has a probability of 0.There is another way to get a probability of zero, which occurs for certain situations that involve infinity; if you are prepared to read through some somewhat intense math, check the Wikipedia article on "Almost surely" for more details. (In this case, "almost surely" means a probability of 1; while "almost never" means a probability of 0.)


Are mutually exclusive events also complementary events?

Not necessarily. The probability of a complementary event with probability p is 1-p. Two mutually exclusive events, however, don't necessarily add up to a probability of 1. For example, the probability of drawing a King from a standard deck of cards is 1 in 13, which the complementary probability of not drawing a King is 12 in 13. The probability, however, of drawing a Heart is 1 in 4, while the probability of drawing a Club is also 1 in 4. That leaves Diamonds and Spades, which account for the remaining probability of 2 in 4.


Matching vehicle speed and direction to the situation is one of the traits of a good driver?

Driving after drinking ______ the probability of greater injury than would happen if driving while sober.


What is the probability that a number greater that 3 appears while rolling a die?

The answer is 50 percent because if you want to roll higher than three then that is a 4, 5, or 6 or 3 out of 6 numbers.


Which is greater grams centimeters kilometers meters?

Kilometers is greater than meters, which is greater than centimeters, which is greater than grams. Kilometers is 1000 times greater than meters, meters is 100 times greater than centimeters, and centimeters is a unit of length while grams is a unit of mass.


Why is the risk of dying from a asteroid greater than dying from a car wreck?

It is an odd result of the potnetial for a high-impact low-probability event. Once in a very long while Earth is struck by a relatively large asteroid. If such an event were to happen today in a populated area, it could easily result in many millions of deaths. Fatal car wrecks occur far more frequently than meteorite impacts, but rarely kill more than a few people.