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The events when we have no reason to believe that one is more likely to occur than the other is called:
- a)Equally likely events
- b)Independent events
- c)Dependent event
- d)Not equally likely events
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The events when we have no reason to believe that one is more likely t...
Equally Likely Events Events which have the same chance of occurring Probability. Chance that an event will occur. Theoretically for equally likely events, it is the number of ways an event can occur divided by number of outcomes in the sample space.
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The events when we have no reason to believe that one is more likely t...
Equally likely events are events where we have no reason to believe that one event is more likely to occur than the other. In other words, the probability of each event occurring is the same. This means that the outcome of one event does not affect the outcome of the other event. Let's explore this concept further.
Definition of Equally Likely Events:
Equally likely events are events in which each event has the same probability of occurring. For example, when flipping a fair coin, the probability of getting heads is the same as the probability of getting tails. Therefore, in this case, the events "getting heads" and "getting tails" are equally likely.
Characteristics of Equally Likely Events:
- The probability of each event is the same.
- The occurrence of one event does not affect the occurrence of the other event.
- The events are independent of each other.
Example:
Let's consider an example of rolling a fair six-sided die. When rolling the die, there are six possible outcomes: 1, 2, 3, 4, 5, and 6. Since the die is fair, each outcome has an equal chance of occurring, and therefore, each outcome is equally likely.
Key Points:
- Equally likely events are events where we have no reason to believe that one event is more likely to occur than the other.
- The probability of each event is the same.
- The occurrence of one event does not affect the occurrence of the other event.
- Equally likely events are independent of each other.
Conclusion:
When we have no reason to believe that one event is more likely to occur than the other, we refer to them as equally likely events. These events have the same probability of occurring and are independent of each other. Understanding the concept of equally likely events is important in probability theory and helps in analyzing and predicting outcomes in various situations.
Definition of Equally Likely Events:
Equally likely events are events in which each event has the same probability of occurring. For example, when flipping a fair coin, the probability of getting heads is the same as the probability of getting tails. Therefore, in this case, the events "getting heads" and "getting tails" are equally likely.
Characteristics of Equally Likely Events:
- The probability of each event is the same.
- The occurrence of one event does not affect the occurrence of the other event.
- The events are independent of each other.
Example:
Let's consider an example of rolling a fair six-sided die. When rolling the die, there are six possible outcomes: 1, 2, 3, 4, 5, and 6. Since the die is fair, each outcome has an equal chance of occurring, and therefore, each outcome is equally likely.
Key Points:
- Equally likely events are events where we have no reason to believe that one event is more likely to occur than the other.
- The probability of each event is the same.
- The occurrence of one event does not affect the occurrence of the other event.
- Equally likely events are independent of each other.
Conclusion:
When we have no reason to believe that one event is more likely to occur than the other, we refer to them as equally likely events. These events have the same probability of occurring and are independent of each other. Understanding the concept of equally likely events is important in probability theory and helps in analyzing and predicting outcomes in various situations.
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The events when we have no reason to believe that one is more likely to occur than the other is called:a)Equally likely eventsb)Independent eventsc)Dependent eventd)Not equally likely eventsCorrect answer is option 'A'. Can you explain this answer?
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