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If an event has more than one sample point, it is called a ………
- a)Exhaustive event
- b)Compound event
- c)Simple event
- d)Mutually exclusive event
Correct answer is option 'B'. Can you explain this answer?
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If an event has more than one sample point, it is called a …&he...
b) Compound event
If an event has more than one sample point, it is called a compound event. A sample point is a specific outcome of an experiment, such as rolling a particular number on a die or drawing a particular card from a deck. An event is a collection of one or more sample points.
A compound event is an event that is made up of multiple sample points, which means that there is more than one way for the event to occur. For example, if you roll a die and count the number of dots on the top face, the event "rolling a number greater than 4" is a compound event, because it consists of the sample points "rolling a 5" and "rolling a 6".
A simple event, on the other hand, is an event that consists of a single sample point. For example, if you roll a die, the event "rolling a 3" is a simple event, because it consists of only one sample point.
Exhaustive events and mutually exclusive events are different concepts. An exhaustive event is an event that includes all possible sample points, so that one of the sample points must occur. A mutually exclusive event is an event that cannot occur at the same time as another event. For example, the events "rolling an odd number" and "rolling an even number" are mutually exclusive, because a die cannot show both an odd and an even number at the same time.
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If an event has more than one sample point, it is called a …&he...
Compound Event Explanation:
Compound events are events that have more than one sample point. These events involve multiple outcomes or scenarios, making them more complex than simple events.
Characteristics of Compound Events:
- Compound events consist of multiple sample points or outcomes.
- They can be composed of a combination of simple events.
- Compound events are often more intricate to analyze and calculate compared to simple events.
Example of Compound Event:
For example, rolling a dice and flipping a coin at the same time would create a compound event. The possible outcomes would be a combination of the results from rolling the dice (1-6) and flipping the coin (heads or tails).
Significance of Compound Events:
Understanding compound events is crucial in probability theory and statistics. By analyzing compound events, one can calculate the likelihood of various outcomes occurring simultaneously. This knowledge is valuable in making informed decisions and predictions in various fields such as finance, sports, and scientific research.
In conclusion, compound events play a significant role in probability theory as they involve multiple sample points or outcomes, making them more complex and challenging to analyze compared to simple events.
Compound events are events that have more than one sample point. These events involve multiple outcomes or scenarios, making them more complex than simple events.
Characteristics of Compound Events:
- Compound events consist of multiple sample points or outcomes.
- They can be composed of a combination of simple events.
- Compound events are often more intricate to analyze and calculate compared to simple events.
Example of Compound Event:
For example, rolling a dice and flipping a coin at the same time would create a compound event. The possible outcomes would be a combination of the results from rolling the dice (1-6) and flipping the coin (heads or tails).
Significance of Compound Events:
Understanding compound events is crucial in probability theory and statistics. By analyzing compound events, one can calculate the likelihood of various outcomes occurring simultaneously. This knowledge is valuable in making informed decisions and predictions in various fields such as finance, sports, and scientific research.
In conclusion, compound events play a significant role in probability theory as they involve multiple sample points or outcomes, making them more complex and challenging to analyze compared to simple events.
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If an event has more than one sample point, it is called a …&he...
Compound Event If an event has more than one sample point it is called a compound event, for example, S = {HH, HT} is a compound event.
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If an event has more than one sample point, it is called a ………a)Exhaustive eventb)Compound eventc)Simple eventd)Mutually exclusive eventCorrect answer is option 'B'. Can you explain this answer?
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