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A die is thrown. Describe the following ...

A die is thrown. Describe the following events:
(i) A : a number less than 7
(ii) B: a multiple of 3
(iii) C: a number not less than 4
(iv) d: an odd number greater than 2
(v) E: an even number greater than 2.

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To solve the problem, we need to describe the events based on the outcomes of throwing a die. A standard die has six faces, numbered from 1 to 6. Let's analyze each event step by step. ### Step-by-Step Solution: 1. **Event A: A number less than 7** - The possible outcomes when a die is thrown are {1, 2, 3, 4, 5, 6}. - Since all these numbers are less than 7, the event A can be described as: - **A = {1, 2, 3, 4, 5, 6}** 2. **Event B: A multiple of 3** - The multiples of 3 within the range of the die's outcomes are 3 and 6. - Therefore, event B can be described as: - **B = {3, 6}** 3. **Event C: A number not less than 4** - The numbers that are not less than 4 are 4, 5, and 6. - Hence, event C can be described as: - **C = {4, 5, 6}** 4. **Event D: An odd number greater than 2** - The odd numbers greater than 2 are 3 and 5. - Thus, event D can be described as: - **D = {3, 5}** 5. **Event E: An even number greater than 2** - The even numbers greater than 2 are 4 and 6. - Therefore, event E can be described as: - **E = {4, 6}** ### Summary of Events: - A = {1, 2, 3, 4, 5, 6} - B = {3, 6} - C = {4, 5, 6} - D = {3, 5} - E = {4, 6}
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