The correct answer is option 3: 3 only.

Let`s dissect each statement to understand why this is the correct answer.

Statement 1: "Discovery of Higgs boson of which scientists are almost certain, may discard Einstein`s special theory of relativity."

This statement is incorrect. The discovery of the Higgs boson does not have implications for Einstein`s special theory of relativity. The Higgs boson was discovered in 2012 at CERN, and its existence confirmed the predictions of the Standard Model of particle physics. Einstein`s special theory of relativity, which describes the behavior of objects moving at high speeds, remains a well-accepted scientific theory.

Statement 2: "Probable discovery of a particle which moves faster than light may prove Stephen Hawking wrong."

This statement is not included in the question prompt and is unrelated to the topic at hand.

Statement 3: "Probable discovery of a particle that moves faster than light may go against Einstein’s special theory of relativity."

This statement is correct. According to Einstein`s special theory of relativity, no particle with mass can travel faster than the speed of light. If a particle were discovered to move faster than the speed of light, it would challenge the fundamental principles of the theory and