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Question 270015
JEE Mathematics · Hard

Probability: JEE Advanced MCQ

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JEE AdvancedHardQuestion 270015

Question

Two distinct numbers are randomly selected from {1, 2, 3, 4, 5}. The probability that their product is even is:
  1. A
    7/10
    Correct
  2. B
    3/5
  3. C
    2/5
  4. D
    4/5

Correct answer

7/10

Explanation

There are (52)=10\binom52=10 pairs. A product is odd only if both numbers are chosen from {1,3,5}, which gives (32)=3\binom32=3 pairs. Hence the required probability is 1−3/10=<strong>7/10</strong>1-3/10=<strong>7/10</strong>.

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