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- A simple event is one that can only happen in one way - in other words, it has a single outcome.
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What is a simple event in probability?
What is an example of a simple event?
What is the difference between a simple event and a compound event?
What is an example of a sure event?
Apr 20, 2023 · Simple & Compound Events. A simple event is one that can only happen in one way - in other words, it has a single outcome. If we consider our previous example of tossing a coin: we get one outcome that is a head or a tail.
- Matthew Cheung
- 2020
- Definition of Events in Probability
- Events in Probability Example
- Independent and Dependent Events
- Impossible and Sure Events
- Simple and Compound Events
- Complementary Events
- Mutually Exclusive Events
- Exhaustive Events
- Equally Likely Events
Events in probability can be defined as certain likely outcomes of an experiment that form a subset of a finite sample space. The probability of occurrence of any event will always lie between 0 and 1. There could be many events associated with one sample space.
Suppose a fair die is rolled. The total number of possible outcomes will form the sample space and are given by {1, 2, 3, 4, 5, 6}. Let an event, E, be defined as getting an even number on the die. Then E = {2, 4, 6}. Thus, it can be seen that E is a subset of the sample space and is an outcome of the rolling of a die. There are several different t...
Independent eventsin probability are those events whose outcome does not depend on some previous outcome. No matter how many times an experiment has been conducted the probability of occurrence of independent events will be the same. For example, tossing a coin is an independent event in probability. Dependent eventsin probability are events whose ...
An event that can never happen is known as an impossible event. As impossible events in probability will never take place thus, the chance that they will occur is always 0. For example, the sun revolving around the earth is an impossible event. A sure event is one that will always happen. The probability of occurrence of a sure event will always be...
If an event consists of a single point or a single result from the sample space, it is termed a simple event. The event of getting less than 2 on rolling a fair die, denoted as E = {1}, is an example of a simple event. If an event consists of more than a single result from the sample space, it is called a compound event. An example of a compound ev...
When there are two events such that one event can occur if and only if the other does not take place then such events are known as complementary events in probability. The sum of the probability of complementary events will always be equal to 1. For example, on tossing a coin let E be defined as getting a head. Then the complement of E is E' which ...
Events that cannot occur at the same time are known as mutually exclusive events. Thus, mutually exclusive events in probability do not have any common outcomes. For example, S = {10, 9, 8, 7, 6, 5, 4}, A = {4, 6, 7} and B = {10, 9, 8}. As there is nothing common between sets A and B thus, they are mutually exclusive events.
Exhaustive eventsin probability are those events when taken together from the sample space of a random experiment. In other words, a set of events out of which at least one is sure to occur when the experiment is performed are exhaustive events. For example, the outcome of an exam is either passing or failing.
Equally likely events in probability are those events in which the outcomes are equally possible. For example, on tossing a coin, getting a head or getting a tail, are equally likely events. The intersection of events in probability corresponds to the AND event. If two events are associated with the "AND" operator, it implies that the common outcom...
An event that has a single point of the sample space is known as a simple event in probability. \(\begin{array}{l}Probability \: of \: an \: event\: occurring = \frac{No. \ of \ favorable \: outcomes}{Total\: no. \ of \: outcomes}\end{array} \)
- The probability of an event is given by, P(E) = number of favourable outcomes/total number of outcomes.
- An event having only one outcome is a simple event. For example, if we toss one coin, it gives only one outcome.
- A compound event is an event which has more than one sample point.
- The total probability of all the outcomes of a compound event is equal to 1.
Any event consisting of a single point of the sample space is known as a simple event in probability. For example, if S = {56 , 78 , 96 , 54 , 89} and E = {78} then E is a simple event. Compound Events. Contrary to the simple event, if any event consists of more than one single point of the sample space then such an event is called a compound ...
- 2 min
In probability terms, a simple event refers to an event with a single outcome, for example, getting “heads” with a single toss of a coin, or rolling a 4 on a die. We also need to consider “fairness” when discussing probability.
Define probability including impossible and certain events. Calculate basic theoretical probabilities. Calculate basic empirical probabilities. Distinguish among theoretical, empirical, and subjective probability. Calculate the probability of the complement of an event. It all comes down to this.
A simple event is one that has only one outcome. It makes up one point of the sample space. Given the sample space {1, 2, 3}, event E = {1} is a simple event. In contrast, a compound event has more than one possible outcome. In other words, it is made up of more than 1 simple event.
