Answer :

Probability of guessing the correct answer = (x/12)

Probability of guessing the wrong answer = 3/4

Now,

Probability of guessing the correct answer + Probability of guessing the wrong answer = 1

∴ (x/12) + 3/4 = 1

⇒ x/12 = 1 - 3/4

⇒ x/12 = 1/4

⇒ x = 12/4

⇒ x = 3

Probability of copying = (2/6)

Probability of not copying = 2y/3

Now,

Probability of copying + Probability of not copying = 1

∴ (2/6) + (2y/3) = 1

⇒ 2y/3 = 1 – 2/6

⇒ 2y/3 = 2/3

⇒ y = 1

If the student does not copy, then honesty and truthfulness towards his studies is reflected.

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