If The Probability That A Person Will Die In The Next Year Is 782 100000 \frac{782}{100000} 100000 782 , What Is The Probability That The Person Will Not Die In The Next Year?A. 0.00365 B. 99635 C. 0.99635 D. 0.99218
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In this article, we will explore the concept of probability and how to calculate the probability of an event not occurring.
The Given Probability
The given probability that a person will die in the next year is . This means that out of 100,000 people, 782 are expected to die in the next year.
Calculating the Probability of Not Dying
To calculate the probability that a person will not die in the next year, we need to subtract the given probability from 1. This is because the probability of an event not occurring is equal to 1 minus the probability of the event occurring.
Mathematically, this can be represented as:
P(not dying) = 1 - P(dying)
where P(dying) is the given probability of .
Converting the Fraction to a Decimal
To make the calculation easier, we can convert the fraction to a decimal. To do this, we divide the numerator (782) by the denominator (100,000).
Calculating the Probability of Not Dying
Now that we have the decimal representation of the probability, we can calculate the probability of not dying by subtracting it from 1.
P(not dying) = 1 - 0.00782 = 0.99218
Comparing the Answer with the Options
Now that we have calculated the probability of not dying, we can compare it with the given options.
A. 0.00365 B. 99635 C. 0.99635 D. 0.99218
The correct answer is D. 0.99218.
Conclusion
In this article, we explored the concept of probability and how to calculate the probability of an event not occurring. We used the given probability of a person dying in the next year to calculate the probability of not dying. We also compared the answer with the given options and found that the correct answer is D. 0.99218.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In this article, we will explore the concept of probability and how to calculate the probability of an event not occurring.
The Given Probability
The given probability that a person will die in the next year is . This means that out of 100,000 people, 782 are expected to die in the next year.
Calculating the Probability of Not Dying
To calculate the probability that a person will not die in the next year, we need to subtract the given probability from 1. This is because the probability of an event not occurring is equal to 1 minus the probability of the event occurring.
Mathematically, this can be represented as:
P(not dying) = 1 - P(dying)
where P(dying) is the given probability of .
Converting the Fraction to a Decimal
To make the calculation easier, we can convert the fraction to a decimal. To do this, we divide the numerator (782) by the denominator (100,000).
Calculating the Probability of Not Dying
Now that we have the decimal representation of the probability, we can calculate the probability of not dying by subtracting it from 1.
P(not dying) = 1 - 0.00782 = 0.99218
Comparing the Answer with the Options
Now that we have calculated the probability of not dying, we can compare it with the given options.
A. 0.00365 B. 99635 C. 0.99635 D. 0.99218
The correct answer is D. 0.99218.
Conclusion
In this article, we explored the concept of probability and how to calculate the probability of an event not occurring. We used the given probability of a person dying in the next year to calculate the probability of not dying. We also compared the answer with the given options and found that the correct answer is D. 0.99218.
Real-World Applications of Probability
Probability has many real-world applications, including:
- Insurance: Insurance companies use probability to calculate the likelihood of an event occurring, such as a person dying or a car being stolen.
- Finance: Financial institutions use probability to calculate the likelihood of a stock or bond performing well or poorly.
- Medicine: Medical professionals use probability to calculate the likelihood of a patient recovering from a disease or experiencing a side effect from a medication.
- Engineering: Engineers use probability to calculate the likelihood of a system or component failing or performing well.
Conclusion
Q: What is probability?
A: Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Q: How is probability calculated?
A: Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Q: What is the difference between probability and chance?
A: Probability and chance are often used interchangeably, but they have different meanings. Probability is a measure of the likelihood of an event occurring, while chance is a vague term that refers to the uncertainty of an event.
Q: Can probability be greater than 1?
A: No, probability cannot be greater than 1. Probability is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Q: Can probability be less than 0?
A: No, probability cannot be less than 0. Probability is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Q: What is the probability of an event not occurring?
A: The probability of an event not occurring is equal to 1 minus the probability of the event occurring.
Q: How is the probability of an event not occurring calculated?
A: The probability of an event not occurring is calculated by subtracting the probability of the event occurring from 1.
Q: Can the probability of an event not occurring be greater than 1?
A: No, the probability of an event not occurring cannot be greater than 1. The probability of an event not occurring is always less than or equal to 1.
Q: Can the probability of an event not occurring be less than 0?
A: No, the probability of an event not occurring cannot be less than 0. The probability of an event not occurring is always greater than or equal to 0.
Q: What is the relationship between probability and statistics?
A: Probability and statistics are closely related. Probability is used to calculate the likelihood of an event occurring, while statistics is used to analyze and interpret data.
Q: Can probability be used to make predictions?
A: Yes, probability can be used to make predictions. By calculating the probability of an event occurring, we can make informed decisions about the likelihood of the event occurring.
Q: What are some real-world applications of probability?
A: Some real-world applications of probability include:
- Insurance: Insurance companies use probability to calculate the likelihood of an event occurring, such as a person dying or a car being stolen.
- Finance: Financial institutions use probability to calculate the likelihood of a stock or bond performing well or poorly.
- Medicine: Medical professionals use probability to calculate the likelihood of a patient recovering from a disease or experiencing a side effect from a medication.
- Engineering: Engineers use probability to calculate the likelihood of a system or component failing or performing well.
Conclusion
In conclusion, probability is a fundamental concept in mathematics that has many real-world applications. By understanding probability, we can make informed decisions about the likelihood of an event occurring and make predictions about the future.