In A Hospital Ward, There Are 10 Nurses And 6 Doctors. Four Of The Nurses And 3 Of The Doctors Are Male. If A Person Is Randomly Selected From This Group, What Is The Probability That The Person Is Female Or A Doctor?A. 3 16 \frac{3}{16} 16 3 B.
Introduction
In a hospital ward, there are 10 nurses and 6 doctors. Four of the nurses and 3 of the doctors are male. If a person is randomly selected from this group, we need to find the probability that the person is female or a doctor. This problem involves basic probability concepts and requires us to calculate the probability of two mutually exclusive events.
Calculating the Probability
To calculate the probability of selecting a female or a doctor, we need to find the total number of females and doctors in the group.
- There are 10 nurses in total, out of which 6 are female. So, the number of female nurses is 6.
- There are 6 doctors in total, out of which 3 are male. So, the number of female doctors is 3.
Now, let's calculate the total number of females and doctors in the group.
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Total number of females = Number of female nurses + Number of female doctors
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Total number of females = 6 + 3
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Total number of females = 9
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Total number of doctors = Number of male doctors + Number of female doctors
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Total number of doctors = 3 + 3
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Total number of doctors = 6
Now, let's calculate the total number of people in the group.
- Total number of people = Total number of nurses + Total number of doctors
- Total number of people = 10 + 6
- Total number of people = 16
Probability of Selecting a Female or a Doctor
Now that we have the total number of females and doctors, we can calculate the probability of selecting a female or a doctor.
- Probability of selecting a female or a doctor = (Total number of females + Total number of doctors) / Total number of people
- Probability of selecting a female or a doctor = (9 + 6) / 16
- Probability of selecting a female or a doctor = 15 / 16
Therefore, the probability of selecting a female or a doctor in a hospital ward is 15/16.
Conclusion
In this article, we calculated the probability of selecting a female or a doctor in a hospital ward. We found that the probability is 15/16. This problem involves basic probability concepts and requires us to calculate the probability of two mutually exclusive events.
Probability of Selecting a Female or a Doctor: A Real-World Example
The concept of probability is widely used in real-world scenarios, including medicine, finance, and insurance. In the context of a hospital ward, understanding the probability of selecting a female or a doctor can help healthcare professionals make informed decisions about patient care.
For instance, if a patient requires a doctor's attention, the probability of selecting a female doctor is 3/16. This information can be useful for healthcare professionals to plan their workload and ensure that patients receive the best possible care.
Real-World Applications of Probability
Probability is a fundamental concept in mathematics that has numerous real-world applications. Some of the key areas where probability is used include:
- Medicine: Probability is used in medical research to understand the likelihood of certain diseases or conditions.
- Finance: Probability is used in finance to calculate the risk of investments and make informed decisions about financial portfolios.
- Insurance: Probability is used in insurance to calculate the likelihood of certain events, such as accidents or natural disasters.
- Engineering: Probability is used in engineering to design and optimize systems, such as bridges and buildings.
Conclusion
In conclusion, the probability of selecting a female or a doctor in a hospital ward is 15/16. This problem involves basic probability concepts and requires us to calculate the probability of two mutually exclusive events. The concept of probability is widely used in real-world scenarios, including medicine, finance, and insurance. Understanding probability can help healthcare professionals make informed decisions about patient care and plan their workload effectively.
Frequently Asked Questions
Q: What is the probability of selecting a female or a doctor in a hospital ward?
A: The probability of selecting a female or a doctor in a hospital ward is 15/16.
Q: How do you calculate the probability of selecting a female or a doctor?
A: To calculate the probability of selecting a female or a doctor, you need to find the total number of females and doctors in the group and divide it by the total number of people in the group.
Q: What are some real-world applications of probability?
A: Some of the key areas where probability is used include medicine, finance, insurance, and engineering.
Q: Why is understanding probability important in healthcare?
Q: What is the probability of selecting a female or a doctor in a hospital ward?
A: The probability of selecting a female or a doctor in a hospital ward is 15/16.
Q: How do you calculate the probability of selecting a female or a doctor?
A: To calculate the probability of selecting a female or a doctor, you need to find the total number of females and doctors in the group and divide it by the total number of people in the group.
Q: What is the total number of females in the hospital ward?
A: There are 6 female nurses and 3 female doctors in the hospital ward, making a total of 9 females.
Q: What is the total number of doctors in the hospital ward?
A: There are 3 male doctors and 3 female doctors in the hospital ward, making a total of 6 doctors.
Q: What is the total number of people in the hospital ward?
A: There are 10 nurses and 6 doctors in the hospital ward, making a total of 16 people.
Q: How do you calculate the probability of selecting a female or a doctor?
A: To calculate the probability of selecting a female or a doctor, you need to add the total number of females and doctors and divide it by the total number of people in the group.
Q: What is the formula for calculating the probability of selecting a female or a doctor?
A: The formula for calculating the probability of selecting a female or a doctor is:
Probability = (Total number of females + Total number of doctors) / Total number of people
Q: What is the probability of selecting a female or a doctor in a hospital ward?
A: The probability of selecting a female or a doctor in a hospital ward is 15/16.
Q: Why is understanding probability important in healthcare?
A: Understanding probability can help healthcare professionals make informed decisions about patient care and plan their workload effectively.
Q: What are some real-world applications of probability?
A: Some of the key areas where probability is used include medicine, finance, insurance, and engineering.
Q: How can probability be used in medical research?
A: Probability can be used in medical research to understand the likelihood of certain diseases or conditions.
Q: How can probability be used in finance?
A: Probability can be used in finance to calculate the risk of investments and make informed decisions about financial portfolios.
Q: How can probability be used in insurance?
A: Probability can be used in insurance to calculate the likelihood of certain events, such as accidents or natural disasters.
Q: How can probability be used in engineering?
A: Probability can be used in engineering to design and optimize systems, such as bridges and buildings.
Conclusion
In conclusion, understanding probability is essential in various fields, including healthcare, finance, insurance, and engineering. By calculating the probability of selecting a female or a doctor in a hospital ward, we can gain insights into the importance of probability in real-world scenarios.
Additional Resources
- Probability Theory: A comprehensive guide to probability theory, including its applications and formulas.
- Medical Research: A collection of articles and studies on medical research, including the use of probability in understanding disease likelihood.
- Finance and Insurance: A guide to finance and insurance, including the use of probability in calculating risk and making informed decisions.
- Engineering: A collection of articles and studies on engineering, including the use of probability in designing and optimizing systems.
Final Thoughts
In conclusion, probability is a fundamental concept that has numerous real-world applications. By understanding probability, we can make informed decisions and gain insights into various fields, including healthcare, finance, insurance, and engineering.