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The question asks about identifying an *impossible situation* when rolling a fair six-sided die (with faces numbered 1 to 6). Let's analyze each option:

a. **The dice shows a number divisible by 2.**
   - The even numbers on a standard die are 2, 4, and 6. These are all divisible by 2.
   - **This is possible.**

b. **The dice shows a number less than or equal to 6.**
   - All numbers on the die (1, 2, 3, 4, 5, and 6) are less than or equal to 6.
   - **This is possible.**

c. **The dice shows a number which is even prime.**
   - The only even prime number is 2. This is one of the numbers on the die.
   - **This is possible.**

d. **The dice shows a number greater than 6.**
   - A standard die has numbers only from 1 to 6. There is no number greater than 6.
   - **This is impossible.**

Therefore, the correct answer is **d. The dice shows a number greater than 6.**

Would you like any further details or have any questions?

Here are 5 related questions for further exploration:
1. What is the probability of rolling an even number on a standard die?
2. How many prime numbers are there on a standard die?
3. What is the probability of rolling a number divisible by 3 on a six-sided die?
4. If two dice are rolled, what is the probability that the sum is less than 6?
5. What is the expected value of a roll of a standard six-sided die?

**Tip:** When rolling a die, always check if the statement involves numbers outside the 1–6 range to quickly identify impossible situations.

A fair numbered dice is rolled. Which of the following statements is an example of an impossible situation? a. The dice shows a number divisible by 2. b. The dice shows a number less than or equal to 6. c. The dice shows a number which is even prime. d. The dice shows a number greater than 6.

Learn how to identify impossible outcomes when rolling a standard six-sided die. This problem helps develop reasoning skills about number properties and probability. Suitable for students in Grades 4-6.

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