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Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese?
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Survivor of 4a survivor of four families of a town conducted to find o...
Introduction:
In a town, a survivor from each of the four families conducted a survey to determine the number of children in each family. The results of the survey are given below. We need to find the probability of having a parallelogram and a triangle formed by the number of children in each family.
Given Information:
- Survivor of four families conducted a survey to determine the number of children in each family.
- The results of the survey are as follows:
Family 1: 2 children
Family 2: 3 children
Family 3: 4 children
Family 4: 5 children
Analysis:
To find the probability of having a parallelogram and a triangle formed by the number of children in each family, we need to analyze the given data.
Parallelogram:
A parallelogram is formed when the number of children in each family can be arranged in a way that the sum of any two adjacent numbers is equal to the sum of the other two adjacent numbers.
Triangle:
A triangle is formed when the number of children in each family can be arranged in a way that the sum of any two adjacent numbers is greater than the third number.
Calculating the Probability:
To calculate the probability of having a parallelogram and a triangle, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable Outcomes:
In this case, the favorable outcomes are the arrangements of the number of children in each family that form both a parallelogram and a triangle. The possible arrangements are:
- 2, 3, 4, 5
- 3, 4, 5, 2
- 4, 5, 2, 3
- 5, 2, 3, 4
Total Possible Outcomes:
The total possible outcomes are the total number of arrangements of the number of children in each family. In this case, there are 4 families, and each family can have a different number of children. Therefore, the total possible outcomes can be calculated as:
Total Possible Outcomes = Number of ways to arrange 2 children * Number of ways to arrange 3 children * Number of ways to arrange 4 children * Number of ways to arrange 5 children
Since there are no constraints mentioned about the arrangement of children in each family, we can assume that the order of arrangement doesn't matter. Therefore, the number of ways to arrange n children can be calculated using factorial notation as:
Number of ways to arrange n children = n!
Hence, the total possible outcomes can be calculated as:
Total Possible Outcomes = 2! * 3! * 4! * 5!
Calculating the Probability:
The probability of having a parallelogram and a triangle can be calculated as the ratio of favorable outcomes to total possible outcomes:
Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes)
Substituting the values calculated earlier, we can calculate the probability.
Conclusion:
By analyzing the given data and calculating the probability, we can determine the likelihood of having a parallelogram and a triangle formed by the number of children in each family. This probability can be calculated by considering the favorable outcomes and the total possible outcomes.
In a town, a survivor from each of the four families conducted a survey to determine the number of children in each family. The results of the survey are given below. We need to find the probability of having a parallelogram and a triangle formed by the number of children in each family.
Given Information:
- Survivor of four families conducted a survey to determine the number of children in each family.
- The results of the survey are as follows:
Family 1: 2 children
Family 2: 3 children
Family 3: 4 children
Family 4: 5 children
Analysis:
To find the probability of having a parallelogram and a triangle formed by the number of children in each family, we need to analyze the given data.
Parallelogram:
A parallelogram is formed when the number of children in each family can be arranged in a way that the sum of any two adjacent numbers is equal to the sum of the other two adjacent numbers.
Triangle:
A triangle is formed when the number of children in each family can be arranged in a way that the sum of any two adjacent numbers is greater than the third number.
Calculating the Probability:
To calculate the probability of having a parallelogram and a triangle, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Favorable Outcomes:
In this case, the favorable outcomes are the arrangements of the number of children in each family that form both a parallelogram and a triangle. The possible arrangements are:
- 2, 3, 4, 5
- 3, 4, 5, 2
- 4, 5, 2, 3
- 5, 2, 3, 4
Total Possible Outcomes:
The total possible outcomes are the total number of arrangements of the number of children in each family. In this case, there are 4 families, and each family can have a different number of children. Therefore, the total possible outcomes can be calculated as:
Total Possible Outcomes = Number of ways to arrange 2 children * Number of ways to arrange 3 children * Number of ways to arrange 4 children * Number of ways to arrange 5 children
Since there are no constraints mentioned about the arrangement of children in each family, we can assume that the order of arrangement doesn't matter. Therefore, the number of ways to arrange n children can be calculated using factorial notation as:
Number of ways to arrange n children = n!
Hence, the total possible outcomes can be calculated as:
Total Possible Outcomes = 2! * 3! * 4! * 5!
Calculating the Probability:
The probability of having a parallelogram and a triangle can be calculated as the ratio of favorable outcomes to total possible outcomes:
Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes)
Substituting the values calculated earlier, we can calculate the probability.
Conclusion:
By analyzing the given data and calculating the probability, we can determine the likelihood of having a parallelogram and a triangle formed by the number of children in each family. This probability can be calculated by considering the favorable outcomes and the total possible outcomes.
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Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese?
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Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese?.
Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese?.
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Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese?, a detailed solution for Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese? has been provided alongside types of Survivor of 4a survivor of four families of a town conducted to find out how many children are there in a familya survivor of four families of a town conducted to find out how many children are there in a familiar to the result of the server is as given below find the probability that a parallelogram and triangle we have for children or not to cheese? theory, EduRev gives you an
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