What is the probability that the number selected is divisible by 6 ?
For the next five (05) items that follow : A 4-digit number is selected at random formed by using the digits 0, 1, 2, 3 and 4 (where repetition of digits is not allowed).
- A. \frac{7}{48}
- B. \frac{2}{3}
- C. \frac{1}{4} ✓
- D. \frac{3}{8}
Correct Answer: C. \frac{1}{4}
Explanation
Must be divisible by both 2 and 3. From {0,2,3,4} (sum=9), evens end in 0 (6 ways), 2 (4 ways), 4 (4 ways) = 14 ways. From {0,1,2,3} (sum=6), evens end in 0 (6 ways), 2 (4 ways) = 10 ways. Total = 24. Probability = 24/96 = 1/4.
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