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Question:
The probability of a certain event is
The probability of a certain event is
Updated On: Jun 2, 2023
- 0
- $\frac{1}{2}$
- 1
- $\frac{1}{4}$
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The Correct Option is C
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Answer (c) 1
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A definite occurrence is one that is unavoidable.
The probability of an occurrence is the likelihood of that event happening.
As an example, The likelihood of selecting 5 red balls from a bag containing 6 red balls, 7 green balls, and 10 blue balls is the same as the chance of selecting 5 red balls from the bag.
P(E) = a number of favorable outcomes, and the total number of outcomes gives the probability of an event.
We will use the notion of probability and its formula to evaluate each of the supplied alternatives.
The probability of an event is 0 if the number of favorable outcomes is 0
This means that there is no chance that the event can take place.
For example, the probability of picking 5 white balls out of a bag with 6 red balls, 7 green balls, and 10 blue balls is 0.
Therefore, the probability of a certain event cannot be 0.
It will be 1.
The probability of an occurrence is the likelihood of that event happening.
As an example, The likelihood of selecting 5 red balls from a bag containing 6 red balls, 7 green balls, and 10 blue balls is the same as the chance of selecting 5 red balls from the bag.
P(E) = a number of favorable outcomes, and the total number of outcomes gives the probability of an event.
We will use the notion of probability and its formula to evaluate each of the supplied alternatives.
The probability of an event is 0 if the number of favorable outcomes is 0
This means that there is no chance that the event can take place.
For example, the probability of picking 5 white balls out of a bag with 6 red balls, 7 green balls, and 10 blue balls is 0.
Therefore, the probability of a certain event cannot be 0.
It will be 1.
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Concepts Used:
Random Experiments
An Experiment is the activity that produces a result or an outcome. It is an element of uncertainty as to which it occurs when we perform an activity or experiment. Normally we get a different number of outcomes from an experiment. However, when an experiment satisfies the following two conditions, it is known as random experiment.
- It has more than one possible outcome.
- It is not possible to predict the outcome in advance.
On the basis of random experiment we can identify whether the given experiment is random or not. Let’s check with the help of example which is a random experiment and which is not.
Question: Using a calculator, divide 36 by 4. Now check, whether it is a random experiment or not.
Solution:
- This activity can be repeated under identical conditions though it has only one possible result.
- The outcome is always 9, which means we can predict the outcome each time we repeat the operation.
The given activity is not a random experiment.
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