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A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is
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A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. t...
Problem:
A number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9. Find the probability that the selected number is their average.
Solution:
To find the probability that the selected number is their average, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total Number of Possible Outcomes:
The total number of possible outcomes is the total number of elements in the given set. In this case, the set contains 10 numbers, so the total number of possible outcomes is 10.
Number of Favorable Outcomes:
To find the number of favorable outcomes, we need to determine the numbers that are the average of two or more elements in the set.
Let's analyze the given set:
- The number 3 cannot be the average of any two or more elements in the set.
- The number 5 is the average of 3 and 7, so it is a favorable outcome.
- The number 7 is the average of 5 and 9, so it is a favorable outcome.
- The number 9 is the average of 7 and 5, so it is a favorable outcome.
Therefore, there are 3 favorable outcomes.
Probability:
The probability of an event is given by the formula:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
In this case, the number of favorable outcomes is 3 and the total number of possible outcomes is 10. Thus, the probability that the selected number is their average is:
Probability = 3 / 10
Simplifying this fraction, we get:
Probability = 3/10 = 0.3
Therefore, the probability that the selected number is their average is 0.3 or 30%.
Summary:
- Given a set of numbers, we need to find the probability that the selected number is their average.
- The total number of possible outcomes is the total number of elements in the set.
- The number of favorable outcomes is determined by analyzing the set to find the numbers that are the average of two or more elements.
- The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
- In this case, the probability is 3/10 or 0.3, which is 30%.
A number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9. Find the probability that the selected number is their average.
Solution:
To find the probability that the selected number is their average, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total Number of Possible Outcomes:
The total number of possible outcomes is the total number of elements in the given set. In this case, the set contains 10 numbers, so the total number of possible outcomes is 10.
Number of Favorable Outcomes:
To find the number of favorable outcomes, we need to determine the numbers that are the average of two or more elements in the set.
Let's analyze the given set:
- The number 3 cannot be the average of any two or more elements in the set.
- The number 5 is the average of 3 and 7, so it is a favorable outcome.
- The number 7 is the average of 5 and 9, so it is a favorable outcome.
- The number 9 is the average of 7 and 5, so it is a favorable outcome.
Therefore, there are 3 favorable outcomes.
Probability:
The probability of an event is given by the formula:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
In this case, the number of favorable outcomes is 3 and the total number of possible outcomes is 10. Thus, the probability that the selected number is their average is:
Probability = 3 / 10
Simplifying this fraction, we get:
Probability = 3/10 = 0.3
Therefore, the probability that the selected number is their average is 0.3 or 30%.
Summary:
- Given a set of numbers, we need to find the probability that the selected number is their average.
- The total number of possible outcomes is the total number of elements in the set.
- The number of favorable outcomes is determined by analyzing the set to find the numbers that are the average of two or more elements.
- The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
- In this case, the probability is 3/10 or 0.3, which is 30%.
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A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is?
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A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is?.
A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number is selected at random from the numbers 3,5,5,7,7,7,9,9,9,9. the probability that the selected number is their average is?.
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