Gate2020 cs Q24

24Let R be the set of all binary relations on the set {2, 3}. Suppose a relation chosen from R at random. The probability that the chosen relation is reflex (round off to 3 decimal places) is ________.

Note – Numerical Type question

Option : A
Explanation :
No. of relation on A = 2⁹
No. of reflexive relation on A = 2^(n²-n) = 2^(3²-3) = 2⁶
∴ Probability (reflexive) = 2⁶ / 2⁹ = 1/8 = 0.125

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