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A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9, 9, 5. The probability that the selected number is their average is
- a)7/10
- b)1/10
- c)3/10
- d)5/10
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9...
Average of given numbers 
Number of outcomes = 3
Number of total outcomes = 10
∴ Required Probability = 3/10
Number of outcomes = 3
Number of total outcomes = 10
∴ Required Probability = 3/10
Most Upvoted Answer
A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9...
Firstly we will add the numbers.. 7+3+9+7+9+5+7+9+9+5=70 Average is 70/10 =7 7 is 3 times in the list so the probability that the selected number is the average of the numbers is 3/10.....I think this is the solution...Hope it is correct
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Community Answer
A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9...
Probability of selecting a number
Given numbers: 7, 3, 9, 7, 9, 5, 7, 9, 9, 5
Total number of given numbers = 10
Number of occurrences of each number:
- 7 occurs 3 times
- 3 occurs 1 time
- 9 occurs 4 times
- 5 occurs 2 times
Total number of occurrences = 3 + 1 + 4 + 2 = 10
Probability of selecting a number = Number of occurrences of the number / Total number of occurrences
Probability of selecting the average number
The average of the given numbers is calculated by adding them up and dividing by the total count:
(7 + 3 + 9 + 7 + 9 + 5 + 7 + 9 + 9 + 5) / 10 = 71 / 10 = 7.1
Number of occurrences of the average number:
- The only number that is equal to the average is 7.1
Total number of occurrences of the average number = 1
Probability of selecting the average number = Number of occurrences of the average number / Total number of occurrences
= 1 / 10
= 1/10
Therefore, the probability that the selected number is their average is 1/10 or 0.1, which is equivalent to option C.
Given numbers: 7, 3, 9, 7, 9, 5, 7, 9, 9, 5
Total number of given numbers = 10
Number of occurrences of each number:
- 7 occurs 3 times
- 3 occurs 1 time
- 9 occurs 4 times
- 5 occurs 2 times
Total number of occurrences = 3 + 1 + 4 + 2 = 10
Probability of selecting a number = Number of occurrences of the number / Total number of occurrences
Probability of selecting the average number
The average of the given numbers is calculated by adding them up and dividing by the total count:
(7 + 3 + 9 + 7 + 9 + 5 + 7 + 9 + 9 + 5) / 10 = 71 / 10 = 7.1
Number of occurrences of the average number:
- The only number that is equal to the average is 7.1
Total number of occurrences of the average number = 1
Probability of selecting the average number = Number of occurrences of the average number / Total number of occurrences
= 1 / 10
= 1/10
Therefore, the probability that the selected number is their average is 1/10 or 0.1, which is equivalent to option C.
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A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9, 9, 5. The probability that the selected number is their average isa)7/10b)1/10c)3/10d)5/10Correct answer is option 'C'. Can you explain this answer?
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