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How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number?
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How many positive three digit integers have the hundreds digit 8 and u...
Understanding the Problem
To solve the problem, we need to identify the three-digit integers that have specific properties:
- The hundreds digit is 8.
- The units (or ones) digit is 5.
Finding Eligible Numbers
1. Hundreds Digit: This is fixed at 8.
2. Units Digit: This is fixed at 5.
3. Tens Digit: This digit can be any digit from 0 to 9.
Thus, we can outline the eligible numbers:
- Hundreds: 8
- Tens: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 (total of 10 options)
- Units: 5
Calculating Total Eligible Numbers
- The total number of positive three-digit integers that meet the criteria is equal to the number of choices for the tens digit:
- Total Numbers = 10 (for tens digit)
Finding Total Three-Digit Integers
The total number of three-digit integers ranges from 100 to 999:
- Total Three-Digit Integers = 999 - 100 + 1 = 900
Calculating the Probability
- The probability of selecting a number that meets the criteria is given by:
- Probability = (Number of favorable outcomes) / (Total outcomes)
- Probability = 10 / 900 = 1 / 90
Conclusion
The total number of positive three-digit integers with the hundreds digit 8 and the units digit 5 is 10. The probability of selecting one such number from all three-digit integers is 1/90.
To solve the problem, we need to identify the three-digit integers that have specific properties:
- The hundreds digit is 8.
- The units (or ones) digit is 5.
Finding Eligible Numbers
1. Hundreds Digit: This is fixed at 8.
2. Units Digit: This is fixed at 5.
3. Tens Digit: This digit can be any digit from 0 to 9.
Thus, we can outline the eligible numbers:
- Hundreds: 8
- Tens: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 (total of 10 options)
- Units: 5
Calculating Total Eligible Numbers
- The total number of positive three-digit integers that meet the criteria is equal to the number of choices for the tens digit:
- Total Numbers = 10 (for tens digit)
Finding Total Three-Digit Integers
The total number of three-digit integers ranges from 100 to 999:
- Total Three-Digit Integers = 999 - 100 + 1 = 900
Calculating the Probability
- The probability of selecting a number that meets the criteria is given by:
- Probability = (Number of favorable outcomes) / (Total outcomes)
- Probability = 10 / 900 = 1 / 90
Conclusion
The total number of positive three-digit integers with the hundreds digit 8 and the units digit 5 is 10. The probability of selecting one such number from all three-digit integers is 1/90.
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How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number?
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How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number?.
How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many positive three digit integers have the hundreds digit 8 and units digit 5 find the probability of selecting one such number out of all three number?.
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