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An experiment is known to be random if the results of the experiment
- a)Can not be predicted
- b)Can be predicted
- c)Can be split into further experiments
- d)Can be selected at random
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
An experiment is known to be random if the results of the experimenta)...
This is an example of a random experiment. In particular, a random experiment is a process by which we observe something uncertain. After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment. The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set.
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An experiment is known to be random if the results of the experimenta)...
Random Experiment
A random experiment is a process that results in one of several possible outcomes. The outcome is uncertain and cannot be predicted with certainty beforehand.
Can be selected at random
A random experiment is known to be random if the results of the experiment can be selected at random. This means that each outcome has an equal chance of occurring, and there is no way to predict which outcome will occur.
Examples
Some examples of random experiments include flipping a coin, rolling a die, or selecting a card from a deck. In each of these cases, there are multiple possible outcomes, and each outcome has an equal chance of occurring.
Cannot be predicted
If the results of an experiment can be predicted with certainty, then the experiment is not random. For example, if you know that a coin is weighted to land on heads, then flipping that coin is not a random experiment since you can predict with certainty that it will land on heads.
Split into further experiments
While a random experiment cannot be split into further experiments, it can be repeated multiple times. Each repetition is considered a separate experiment, and the outcome of each experiment is independent of the outcome of the previous experiment.
Conclusion
In conclusion, a random experiment is a process that results in one of several possible outcomes, and each outcome has an equal chance of occurring. The results of a random experiment can be selected at random, and the experiment cannot be predicted with certainty beforehand.
A random experiment is a process that results in one of several possible outcomes. The outcome is uncertain and cannot be predicted with certainty beforehand.
Can be selected at random
A random experiment is known to be random if the results of the experiment can be selected at random. This means that each outcome has an equal chance of occurring, and there is no way to predict which outcome will occur.
Examples
Some examples of random experiments include flipping a coin, rolling a die, or selecting a card from a deck. In each of these cases, there are multiple possible outcomes, and each outcome has an equal chance of occurring.
Cannot be predicted
If the results of an experiment can be predicted with certainty, then the experiment is not random. For example, if you know that a coin is weighted to land on heads, then flipping that coin is not a random experiment since you can predict with certainty that it will land on heads.
Split into further experiments
While a random experiment cannot be split into further experiments, it can be repeated multiple times. Each repetition is considered a separate experiment, and the outcome of each experiment is independent of the outcome of the previous experiment.
Conclusion
In conclusion, a random experiment is a process that results in one of several possible outcomes, and each outcome has an equal chance of occurring. The results of a random experiment can be selected at random, and the experiment cannot be predicted with certainty beforehand.
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An experiment is known to be random if the results of the experimenta)Can not be predictedb)Can be predictedc)Can be split into further experimentsd)Can be selected at randomCorrect answer is option 'D'. Can you explain this answer?
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