An integer is chosen at random between 1 and 100. Find the probability that it is divisible by 8 and not divisible by 8. - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

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

P (E) = n (E) n (S)

To find the probability that the number is divisible by

8

.
The numbers between

1

and 100 which are divisible by

8

are

{8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}

Total number of numbers which are divisible by 8

= 12

Total number of numbers = 98 (excluding 1 and 100)
Probability of choosing a number that is divisible by 8

= 1298 = 649

Total number of numbers which are not divisible by 8 = 86.
Probability of choosing a number that is not divisible by

8 = 8698

= 4349

The probability of choosing a number which is divisible by

8

649

and the probability of choosing a number which is not divisible by

8

4349

.
Hence, the correct option is 1.

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