An integer is chosen at random between 1 and 100. Find the probability that it is divisible by 8 and not divisible by 8.

# An integer is chosen at random between 1 and 100. Find the probability that it is divisible by 8 and not divisible by 8.

1. A

2. B

3. C

4. D

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### Solution:

Given, an integer is chosen at random between 1 and 100.

To find the probability that the number is divisible by  .
The numbers between   and 100 which are divisible by   are   Total number of numbers which are divisible by 8   Total number of numbers = 98 (excluding 1 and 100)
Probability of choosing a number that is divisible by 8
Total number of numbers which are not divisible by 8 = 86.
Probability of choosing a number that is not divisible by
The probability of choosing a number which is divisible by   is   and the probability of choosing a number which is not divisible by   is   .
Hence, the correct option is 1.

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