Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
4-digit numbers are formed using the digits $4,5,6,7,8,9$ allowing repetition of the given digits. If a number is chosen at random from those numbers thus formed, then the probability that it is exactly divisible by 3 is
MathematicsProbabilityTS EAMCETTS EAMCET 2020 (11 Sep Shift 2)
Options:
  • A $\frac{7}{36}$
  • B $\frac{5}{18}$
  • C $\frac{5}{6}$
  • D $\frac{1}{3}$
Solution:
1492 Upvotes Verified Answer
The correct answer is: $\frac{1}{3}$
If we form a 4-digit number by using the digits 4, 5, 6, 7, 8, 9 allowing repetition, then we can categories the remainders on dividing by 3 as 0,1 or 2 , so the probability to form a number which is exactly divisible by 3 is $\frac{1}{3}$.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.