Suppose we throw a dice once. Then, which one of the following is/are correct?

(A) The probability of getting a number greater than 4 is $\frac{1}{3}$.
(B) The probability of getting a number greater than or equal to 4 is $\frac{1}{3}$.
(C) The probability of getting a number less than or equal to 3 is $\frac{1}{2}$.
(D) The probability of getting a number less than or equal to 6 is 1.

Choose the correct answer from the options given below:

(A), (C) and (D) only

The correct answer is Option (3) → (A), (C) and (D) only

Statement (A): The numbers greater than 4 on a dice are 5 and 6. There are 2 favourable outcomes out of 6 total outcomes. Hence, the probability is one by three. The statement is correct.

Statement (B): The numbers greater than or equal to 4 are 4, 5 and 6. There are 3 favourable outcomes out of 6. The probability comes out to one by two, not one by three. Therefore, the statement is incorrect.

Statement (C): The numbers less than or equal to 3 are 1, 2 and 3. There are 3 favourable outcomes out of 6. The probability is one by two. The statement is correct.

Statement (D): All possible outcomes on a dice are less than or equal to 6. Hence, the probability is equal to one. The statement is correct.