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:

When throwing a standard dice once, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6

Probability $= \dfrac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \dfrac{\text{Favorable outcomes}}{6}$

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(A) Probability of getting a number greater than 4 is $\frac{1}{3}$

Numbers greater than 4: 5, 6

Number of favorable outcomes $= 2$

Probability $= \dfrac{2}{6}$

Probability $= \dfrac{1}{3}$

Statement (A) is correct.

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(B) Probability of getting a number greater than or equal to 4 is $\frac{1}{3}$

Numbers greater than or equal to 4: 4, 5, 6

Number of favorable outcomes $= 3$

Probability $= \dfrac{3}{6}$

Probability $= \dfrac{1}{2}$

Statement (B) is incorrect.

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(C) Probability of getting a number less than or equal to 3 is $\frac{1}{2}$

Numbers less than or equal to 3: 1, 2, 3

Number of favorable outcomes $= 3$

Probability $= \dfrac{3}{6}$

Probability $= \dfrac{1}{2}$

Statement (C) is correct.

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(D) Probability of getting a number less than or equal to 6 is 1

Numbers less than or equal to 6: 1, 2, 3, 4, 5, 6

Number of favorable outcomes $= 6$

Probability $= \dfrac{6}{6}$

Probability $= 1$

Statement (D) is correct.

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Therefore, statements (A), (C), and (D) are correct.