wiz-icon
MyQuestionIcon
MyQuestionIcon
21
You visited us 21 times! Enjoying our articles? Unlock Full Access!
Question

A number is chosen at random among the first 100 natural numbers. Find the probability that the number chosen is prime.


A

1/4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

27/100

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

29/100

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

3/10

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

1/4


There are 25 prime numbers in the set of the first 100 natural numbers. They are:
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89, and 97.
We know that,
Probability of an event E, P(E) =number of favourable outcomestotal number of outcomes

Hence, the required probability = 25100 = 14.


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Theoretical Probability
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon