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AP EAMCET · Maths · Probability

If a number is chosen at random from out of the four digited numbers formed by using the digits \(0,1,2,3,4,6\) without repetition, then the probability that it is divisible by 4 , is

  1. A \(\frac{17}{100}\)
  2. B \(\frac{17}{50}\)
  3. C \(\frac{13}{50}\)
  4. D \(\frac{13}{25}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{17}{50}\)

Step-by-step Solution

Detailed explanation

If the number divisible by 4 using digits 0,1 , \(2,3,4,6\) unit place digit is even. Case I. If unit digit is 0 , then tens place possible digits is \(2,4,6\) Possible outcome \(=4 \times 3 \times 3=36\) Case II. If unit digit is 2 , then tens place digits are 1 and 3 Possible…