Mutually Exclusive Definition Mutually Exclusive Definition In layperson's terms, two events are 'mutually exclusive' if they cannot occur at the same time. An example is tossing a coin once, which can result in either heads or tails, but not both. In the coin-tossing example, both outcomes are collectively exhaustive, which means that at least one of the outcomes must happen, so these two possibilities together exhaust all the possibilities. However, not all mutually exclusive events are collectively exhaustive. For example, the outcomes 1 and 4 of a single roll of a six-sided die are mutually exclusive (cannot both happen) but not collectively exhaustive (there are other possible outcomes; 2,3,5,6). In logic, two mutually exclusive propositions are propositions that logically cannot be true at the same time. Another term for mutually exclusive is "disjoint". To say that more than two propositions are mutually exclusive, depending on context, means that one cannot be true if the other one is true, or at least one of them cannot be true. The term pairwise mutually exclusive always means two of them cannot be true simultaneously. Know More About What is a Line Graph
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Mutually exclusive events are ones in which one event happening means that another cannot happen. While mutually exclusive events are used often in scientific theories, they also play a part in law and business. As a result, understanding mutually exclusive events is can be important for a variety of disciplines. Definition :- A mutually exclusive event is one in which the acceptance of one alternative automatically excludes other, possible alternatives. A common example of a mutually exclusive event is a coin flip. Either the coin will come up heads or tails. Since the coin coming up heads means that it will not come up tails, that makes the coin flip a mutually exclusive event. It is either will be one side or the other, it cannot be both. Law :- The field of law is highly conscious of mutually exclusive events. While this is true of many crimes, a commonplace scenario would be receiving a speeding ticket. Either the person was exceeding the speed limit, or they were not. This is a simple example, but often the entire basis of guilt or innocence is based on a mutually exclusive event, hence the importance of an alibi. If it can be proven a defendant was doing something else at the time of the crime then they cannot be guilty of the crime (in many cases). Math :- The mathematical definition of mutually exclusive events is a little more involved. According to mathematics, mutually exclusive events are when two or more events cannot occur at the same time, and the sum of their individual probabilities is the chance of the event occurring at all. This adds one more element to the definition, as either one or another event must happen, but both events cannot happen at the same time. Probability :- Mutually exclusive events are one of the keystones of probability. Probability is the chance that a certain event will happen a certain amount of the time. For instance, flipping a coin is a mutually exclusive event that has a 50 percent probability--about half the time it will be heads, about half the time it will be tails.
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What is a Bar Graph What is a Bar Graph Bar graphs, also called bar charts, compare values by using bars.Bar charts are easier to use than Types of graphs because the latter takes a long time to construct. The information displayed in the graph above straightforward. It tells how many days of snow there were for the month of December, January, February, and March For example,in December there were two days of snow and in February, there were fourteen days of snow. If the bar does not extend to the next line on the scale, just approximate the value. For the month of March, the bar does not extend all the way to four. However, a close look shows that the bar is between 4 and 2. Therefore, a good approximation is 3, or 3 days of snow in March The bars do not have to be vertical. They can also be vertical as the following: Example: Use the bar graphs below to answer the following questions:
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what is the scale of the graph? The scale is on the left of the graph and it is 1 unit. What is the title of the graph? The title is "score on a basic math test" How many student scored 80? 6 students score 80 How many students got 60 on the test? 4 students got 60 How many students took the test? 1 student got 40, 2 students got 50, 4 students got 60, 3 students got 70, 6 students got 80,and 2 students got 90 1 + 2 + 4 + 3 + 6 + 2 = 18 So, 18 students took the test. Why is there no bar above 100? If the passing grade is 70, how many students passed? 11 students passed the test. Because no one got 100 on the test. Read More About Standard Deviation and Variance
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Thank You
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