Consider the following statements for mutually exclusive and independent properties in probability: (I) The theoretical probability of an event E is defined as \( P(E) = \frac{\text{Number of outcomes favourable to E}}{\text{Number of all possible outcomes of the experiment}} \). (II) Two events E and F are elementary events if each has exactly one outcome of the experiment. (III) The probability of a sure event is 0. (IV) The definition of classical probability was given by Pierre Simon Laplace in 1795. How many of the above statements are correct?

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Correct answer · Option C

Only three

Statements (I), (II), and (IV) are correct. Statement (III) is incorrect because the probability of a sure event is 1.