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An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8?
Most Upvoted Answer
An integer is chosen at random between 1 and 100 find the probability ...
Total number is 98
Divisible by 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
So, 12 numbers are divisible by 8
Probability of divisible by 8=12/98
=6/49
Probability of not divisible by 8=86/98
=43/49
Divisible by 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
So, 12 numbers are divisible by 8
Probability of divisible by 8=12/98
=6/49
Probability of not divisible by 8=86/98
=43/49
Community Answer
An integer is chosen at random between 1 and 100 find the probability ...
Probability of Choosing an Integer Divisible by 8
To find the probability of choosing an integer between 1 and 100 that is divisible by 8, we need to determine the total number of integers between 1 and 100 that are divisible by 8, and then divide it by the total number of integers between 1 and 100.
Finding the Total Number of Integers Divisible by 8
To find the total number of integers between 1 and 100 that are divisible by 8, we can start by identifying the first and last integers in this range that are divisible by 8.
The first integer divisible by 8 is 8 itself, while the last integer divisible by 8 is 96. We can calculate this by dividing 100 by 8 and then multiplying the quotient by 8.
So, the total number of integers divisible by 8 between 1 and 100 is (96 - 8)/8 + 1 = 12.
Finding the Total Number of Integers Between 1 and 100
The total number of integers between 1 and 100 is simply the difference between the last integer (100) and the first integer (1), plus 1.
So, the total number of integers between 1 and 100 is 100 - 1 + 1 = 100.
Calculating the Probability
To calculate the probability of choosing an integer between 1 and 100 that is divisible by 8, we divide the total number of integers divisible by 8 by the total number of integers between 1 and 100.
Probability = (Number of integers divisible by 8) / (Total number of integers between 1 and 100)
Probability = 12 / 100 = 0.12
Therefore, the probability of choosing an integer between 1 and 100 that is divisible by 8 is 0.12 or 12%.
Summary
- The first step is to find the total number of integers between 1 and 100 that are divisible by 8, which is 12.
- The second step is to find the total number of integers between 1 and 100, which is 100.
- Finally, we divide the number of integers divisible by 8 by the total number of integers to calculate the probability, which is 0.12 or 12%.
To find the probability of choosing an integer between 1 and 100 that is divisible by 8, we need to determine the total number of integers between 1 and 100 that are divisible by 8, and then divide it by the total number of integers between 1 and 100.
Finding the Total Number of Integers Divisible by 8
To find the total number of integers between 1 and 100 that are divisible by 8, we can start by identifying the first and last integers in this range that are divisible by 8.
The first integer divisible by 8 is 8 itself, while the last integer divisible by 8 is 96. We can calculate this by dividing 100 by 8 and then multiplying the quotient by 8.
So, the total number of integers divisible by 8 between 1 and 100 is (96 - 8)/8 + 1 = 12.
Finding the Total Number of Integers Between 1 and 100
The total number of integers between 1 and 100 is simply the difference between the last integer (100) and the first integer (1), plus 1.
So, the total number of integers between 1 and 100 is 100 - 1 + 1 = 100.
Calculating the Probability
To calculate the probability of choosing an integer between 1 and 100 that is divisible by 8, we divide the total number of integers divisible by 8 by the total number of integers between 1 and 100.
Probability = (Number of integers divisible by 8) / (Total number of integers between 1 and 100)
Probability = 12 / 100 = 0.12
Therefore, the probability of choosing an integer between 1 and 100 that is divisible by 8 is 0.12 or 12%.
Summary
- The first step is to find the total number of integers between 1 and 100 that are divisible by 8, which is 12.
- The second step is to find the total number of integers between 1 and 100, which is 100.
- Finally, we divide the number of integers divisible by 8 by the total number of integers to calculate the probability, which is 0.12 or 12%.
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An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8?
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An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8? 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 An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8?.
An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8? 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 An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An integer is chosen at random between 1 and 100 find the probability that is divisible by 8 not divisible by 8?.
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