Though the outcome and event of the words look similar, there is a good difference between the outcome and event.
The word outcome is a direct result of a random experiment. But the event is a singular result of an experiment.
According to the probability theory, an outcome is a possible result of a trial or an experience.
Each possible outcome of a specific experiment is unique. There are various outcomes that are decisive mutually.
Only one outcome occurs after the occurrence of each trial or experiment. There are also multiple possible outcomes of an experiment.
You avail these experiments from the sample space elements.
For experiments where we float and flip the coin twice, we get four possible outcomes.
We get our sample space in this manner. The sample space is (T, H), (H, T), (H, H), and (T, T). In this sample space, the “H” represents the heads whereas the “T” represents the “tails”.
The possible outcomes of the experiment are not the events. They must never be confused with the events.
The events are the informal groups of outcomes. To compare, we define an event that is likely to occur.
That is when at least one head flips during the experiment, one outcome gets at least one head in the experiment.
So, the event consists of all outcomes in the sample space – without the T, T event.
What Are Equally Likely Events?
There are multiple sample spaces in which we get equally likely events. It also becomes reasonable to assume or estimate that all outcomes within a space may occur likely.
These events occur with equal probability. For instance, when you toss an ordinary coin, a person may assume typically that the outcomes “tail” and “head” may equally likely occur.
There is also an assumption that the equally likely outcomes underpin the most tools of randomization in common games of chances – which are shuffling of cards, rolling dice, spinning wheels or tops, drawing of lots, etc.
Most definitely, many people in such games try to cheat also by solemnly introducing the systematic deviation from the occurrence of the equal likelihood of the events.
Most people can commit fraudulent activities by using shaved or loaded dice, marked cards, or any other methods of corruption.
There are also some treatments of probability that suggests that multiple accounts of an experiment are explained as the “equally likely”.
But these are many experiments that cannot be described in the equally likely outcomes.
For instance, if we take the example of the thumbtack, we will observe that we cannot measure the thumbtack in two equally likely events.
We cannot fully calculate if the thumbtack went downwards or upwards.
There is also no such symmetry that suggests that two outcomes of this experiment were equally likely.
So, there are only a few instances that have equally likely events.
What Is The Difference Between An Outcome And An Event In Statistics?
We have differentiated between the event and outcome in statistics in the example below:
Think of an event in which we roll a dice. We have a sample space in this set, which is the numbers from 1 to 6.
In this sample space, there are multiple outcomes. Each number is an outcome in itself. There are six outcomes in this set of roll dice.
In this experiment, we have an event or an outcome. We can also have an event that has multiple outcomes in this scenario.
For instance, no. 4 is an event in this experiment. If we get no. 4 as the event, it is considered a single event.
If we get another number in the event, it would be another event. So, we can get multiple outcomes in an event.
What Is The Difference Between Independent And Dependent Events?
In probability, an independent event is an event in which an event does not influence the outcomes of another event.
On the other hand, a dependent event is an event in which an event influences the outcomes of a particular event of an experiment.
We can get an understanding of both of these events from an example. For instance, if there are two events named A and B.
These events would be either independent or dependent. If no event influences the probability of event A, then A is an independent event.
The events of the independent A will occur independently of any influence. There are multiple events that leave a bad effect on the events.
Such an event is called the “dependent event.” In this event, the probability of the event is conditioned upon the occurrence of another event.
What Is The Outcome Of An Experiment Called?
In the experiment, there are multiple vocabularies used. These are the outcome, sample space, event, and a sample point.
The sample space consists of all possible outcomes or sample points present in a sample space.
An event within an experiment is a subset of a sample space.
On the other hand, there is also an outcome or a sample point that is the result of an experiment.
So, the event is a subset, the outcome is the result of an experiment, and sample space is the contents of a set.
What Is An Example Of An Impossible Event?
In probability, there are also impossible events. For instance, when we roll a dice, we can get the impossible events.
An impossible event is an event that does not happen. E is an impossible event.
So, when we flip a coin once, the impossible event in this experiment would be getting both a tail and ahead.
There is also a certain event within the probability. A certain event is a course or events of affairs that surely happens.
How Do You Know If Outcomes Are Equally Likely?
The events in a sample space are equally likely if each outcome within a set has the same probability of occurrence.