AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

An integer is chosen between $0$ and $100$ . What is the probability that it is not divisible by $7$ ?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

7100

3547

1499

8599

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given that, an integer is chosen between

0

and

100

.
As the number of integers between

0

and

100

is,

n (S) = 99

.
The integers which are divisible by

7

between

0

and

100

are

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

.
So, the total number of integers which is divisible by

7

is,

n (E) = 14

The probability that the integers are divisible by

7

can be calculated by using the formula,

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

= 1499

The probability is

1499

.
The probability of the event and its complementary event is given by,

P (E) + P (E ¯) = 1

P (E ¯)

is the event that the integer is not divisible by 7, then,

P (E ¯) = 1 − P (E)

= 1 − 1499

= 8599

The probability is

8599

.
Hence, option 4) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!